Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 36, 72, 80, 90, 947 i.e. 681840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 36, 72, 80, 90, 947 is 681840.
LCM(36, 72, 80, 90, 947) = 681840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 36, 72, 80, 90, 947 |
2 | 18, 36, 40, 45, 947 |
2 | 9, 18, 20, 45, 947 |
3 | 9, 9, 10, 45, 947 |
3 | 3, 3, 10, 15, 947 |
5 | 1, 1, 10, 5, 947 |
1, 1, 2, 1, 947 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 1 x 2 x 1 x 947 = 681840
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 36,72,80,90,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,72,80,90,947) = 1
common factors(in case of two or more numbers have common factors) = 25920
GCF(36,72,80,90,947) x common factors =1 x 25920 = 25920
LCM(36,72,80,90,947) = ( 36 × 72 × 80 × 90 × 947 ) / 25920
LCM(36,72,80,90,947) = 17673292800 / 25920
LCM(36,72,80,90,947) = 681840
∴ Least Common Multiple of 36,72,80,90,947 is 681840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 36, 72, 80, 90, 947?
Answer: LCM of 36, 72, 80, 90, 947 is 681840.
2. What are the Factors of 681840?
Answer: Factors of 681840 are . There are integers that are factors of 681840
3. How to Find the LCM of 36, 72, 80, 90, 947 ?
Least Common Multiple of 36, 72, 80, 90, 947.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(36, 72, 80, 90, 947) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 947 = 681840.