Least Common Multiple of 217, 150, 297, 350, 759

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 217, 150, 297, 350, 759 i.e. 74116350 smallest integer divisible by all numbers.

Least common multiple (LCM) of 217, 150, 297, 350, 759 is 74116350.

LCM(217, 150, 297, 350, 759) = 74116350

LCM of 217, 150, 297, 350, 759

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 217,150,297,350,759

Least Common Multiple (LCM) of 217,150,297,350,759 is 74116350

2 217, 150, 297, 350, 759
3 217, 75, 297, 175, 759
5 217, 25, 99, 175, 253
5 217, 5, 99, 35, 253
7 217, 1, 99, 7, 253
11 31, 1, 99, 1, 253
31, 1, 9, 1, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 7 x 11 x 31 x 1 x 9 x 1 x 23 = 74116350

Least Common Multiple of 217,150,297,350,759 with GCF Formula

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 217,150,297,350,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,150,297,350,759) = 1

common factors(in case of two or more numbers have common factors) = 34650

GCF(217,150,297,350,759) x common factors =1 x 34650 = 34650

LCM(217,150,297,350,759) = ( 217 × 150 × 297 × 350 × 759 ) / 34650

LCM(217,150,297,350,759) = 2568131527500 / 34650

LCM(217,150,297,350,759) = 74116350

∴ Least Common Multiple of 217,150,297,350,759 is 74116350

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 217, 150, 297, 350, 759

1. What is the LCM of 217, 150, 297, 350, 759?

Answer: LCM of 217, 150, 297, 350, 759 is 74116350.

2. What are the Factors of 74116350?

Answer: Factors of 74116350 are . There are integers that are factors of 74116350

3. How to Find the LCM of 217, 150, 297, 350, 759 ?

Least Common Multiple of 217, 150, 297, 350, 759.

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(217, 150, 297, 350, 759) = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 23 x 31 = 74116350.