Advertisements
Advertisements
Question
Veena has some beads. She wants to make necklaces with an equal number of beads in each. If she makes necklaces of 16 or 24 or 40 beads, there is no bead left over. What is the least number of beads with her?
Solution
Veena wants to make necklaces with an equal number of beads in each such there is no bead left over, so the number of beads with her must be in multiples of 16, 24, and 40. Therefore, the least number of beads with her is the LCM of 16, 24, and 40.
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288,...
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264,...
Multiples of 40: 40, 80, 120, 160, 200, 240, 280,...
Common multiples of 16, 24, and 40: 240,...
∴ Least number of beads with Veena = LCM of 16, 24 and 40 = 240
Thus, the least number of beads with Veena is 240.
RELATED QUESTIONS
Find out the LCM of the following number:
12, 28
Find the LCM:
10, 15, 20
The HCF of 120 and 150 is ______.
Find the LCM:
15, 25, 30
A trader has three bundles of string 392 m, 308 m and 490 m long. What is the great est length of string that the bundles can be cut up into without any left over string?
Three measuring rods are 45 cm, 50 cm, and 75 cm in length. What is the least length (in metres) of a rope that can be measured by the full length of each of these three rods?
The numbers which divides 35 without remainders are _______, ________, ________
Find first three common multiples of the given number.
12, 9
Find L.C.M of the given number.
16 and 24
Find the smallest 4-digit number which is divisible by 18, 24 and 32.
