Least Common Multiple of 385, 880, 174, 88

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 385, 880, 174, 88 i.e. 535920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 385, 880, 174, 88 is 535920.

LCM(385, 880, 174, 88) = 535920

LCM of 385, 880, 174, 88

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

LCM of:

Least Common Multiple of 385,880,174,88

Least Common Multiple (LCM) of 385,880,174,88 is 535920

2 385, 880, 174, 88
2 385, 440, 87, 44
2 385, 220, 87, 22
5 385, 110, 87, 11
11 77, 22, 87, 11
7, 2, 87, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 7 x 2 x 87 x 1 = 535920

Least Common Multiple of 385,880,174,88 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 385,880,174,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,880,174,88) = 1

common factors(in case of two or more numbers have common factors) = 9680

GCF(385,880,174,88) x common factors =1 x 9680 = 9680

LCM(385,880,174,88) = ( 385 × 880 × 174 × 88 ) / 9680

LCM(385,880,174,88) = 5187705600 / 9680

LCM(385,880,174,88) = 535920

∴ Least Common Multiple of 385,880,174,88 is 535920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 385, 880, 174, 88

1. What is the LCM of 385, 880, 174, 88?

Answer: LCM of 385, 880, 174, 88 is 535920.

2. What are the Factors of 535920?

Answer: Factors of 535920 are . There are integers that are factors of 535920

3. How to Find the LCM of 385, 880, 174, 88 ?

Least Common Multiple of 385, 880, 174, 88.

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(385, 880, 174, 88) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 29 = 535920.