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 938, 832, 170, 896, 486 i.e. 16119492480 smallest integer divisible by all numbers.
Least common multiple (LCM) of 938, 832, 170, 896, 486 is 16119492480.
LCM(938, 832, 170, 896, 486) = 16119492480
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 938, 832, 170, 896, 486 |
2 | 469, 416, 85, 448, 243 |
2 | 469, 208, 85, 224, 243 |
2 | 469, 104, 85, 112, 243 |
2 | 469, 52, 85, 56, 243 |
2 | 469, 26, 85, 28, 243 |
7 | 469, 13, 85, 14, 243 |
67, 13, 85, 2, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67 x 13 x 85 x 2 x 243 = 16119492480
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 938,832,170,896,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,832,170,896,486) = 2
common factors(in case of two or more numbers have common factors) = 1792
GCF(938,832,170,896,486) x common factors =2 x 1792 = 3584
LCM(938,832,170,896,486) = ( 938 × 832 × 170 × 896 × 486 ) / 3584
LCM(938,832,170,896,486) = 57772261048320 / 3584
LCM(938,832,170,896,486) = 16119492480
∴ Least Common Multiple of 938,832,170,896,486 is 16119492480
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 938, 832, 170, 896, 486?
Answer: LCM of 938, 832, 170, 896, 486 is 16119492480.
2. What are the Factors of 16119492480?
Answer: Factors of 16119492480 are . There are integers that are factors of 16119492480
3. How to Find the LCM of 938, 832, 170, 896, 486 ?
Least Common Multiple of 938, 832, 170, 896, 486.
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(938, 832, 170, 896, 486) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 67 = 16119492480.