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 149, 636, 459, 175, 765 i.e. 2537306100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 149, 636, 459, 175, 765 is 2537306100.
LCM(149, 636, 459, 175, 765) = 2537306100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 149, 636, 459, 175, 765 |
3 | 149, 212, 153, 175, 255 |
5 | 149, 212, 51, 175, 85 |
17 | 149, 212, 51, 35, 17 |
149, 212, 3, 35, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 149 x 212 x 3 x 35 x 1 = 2537306100
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 149,636,459,175,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,636,459,175,765) = 1
common factors(in case of two or more numbers have common factors) = 2295
GCF(149,636,459,175,765) x common factors =1 x 2295 = 2295
LCM(149,636,459,175,765) = ( 149 × 636 × 459 × 175 × 765 ) / 2295
LCM(149,636,459,175,765) = 5823117499500 / 2295
LCM(149,636,459,175,765) = 2537306100
∴ Least Common Multiple of 149,636,459,175,765 is 2537306100
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 149, 636, 459, 175, 765?
Answer: LCM of 149, 636, 459, 175, 765 is 2537306100.
2. What are the Factors of 2537306100?
Answer: Factors of 2537306100 are . There are integers that are factors of 2537306100
3. How to Find the LCM of 149, 636, 459, 175, 765 ?
Least Common Multiple of 149, 636, 459, 175, 765.
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(149, 636, 459, 175, 765) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 17 x 53 x 149 = 2537306100.