HOW DO YOU CALCULATE THE LOWEST COMMON MULTIPLIER USING THE METHOD OF SUCCESSIVE DIVISIONS?
Calculating the l.c.m. is very simple. Let's see an example:
Calculate the l.c.m. for (164,72) using the method of successive divisions:
1st. We calculate the highest common denominator (h.c.d.) of the two numbers:
2nd. We multiply the two numbers and we divide the product by the h.c.d.:
3.82 Calculate the l.c.m. for (2100,420) using the successive divisions method:
Answer: 2100 (the h.c.d. is 420)
3.83 Calculate the l.c.m. for (6210,1420) using the successive divisions method:
Answer: 881820 (the h.c.d. is 10)
CALCULATING THE L.C.M. FOR MORE THAN TWO NUMBERS:
Let's calculate the l.c.m. for (702,1176,2772,5500):
1st. We calculate the l.c.m. for (702,1176)
2nd. We calculate the l.c.m. for (137592,2772):
The h.c.d. for (137592,2772) = 252;
3rd. We calculate the l.c.m. for (1513512,5500):
The h.c.d. for (1513512,5500) = 44
3.84 Calculate the h.c.d. and the l.c.m. for the numbers: 18, 64, 72 and 114. Using the successive divisions method:
Answers: the h.c.d. for (18,64,72,114) = 6
the l.c.m. for (18,64,72,114) = 76608
