Least Common Multiple of 870/57, 361/90, 336/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/57, 361/90, 336/573 quickly i.e. 5862640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/57, 361/90, 336/573 is 5862640.

LCM(870/57, 361/90, 336/573) = 5862640

LCM of 870/57, 361/90, 336/573

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 870/57,361/90,336/573

Given numbers are 870/57,361/90,336/573

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 870,361,336

Least Common Multiple of Numerators i.e. LCM of 870,361,336 is 17587920.

GCF of Denominators means GCF of 57,90,573 as per the given fractions.

GCF of 57,90,573 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,361,336

LCM of Fractions 870/57,361/90,336/573 is 5862640

2 870, 361, 336
3 435, 361, 168
145, 361, 56

∴ So the LCM of the given numbers is 2 x 3 x 145 x 361 x 56 = 17587920

Least Common Multiple of 870,361,336 with GCF Formula

Least Common Multiple of 870,361,336 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 870,361,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,361,336) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(870,361,336) x common factors =1 x 6 = 6

LCM(870,361,336) = ( 870 × 361 × 336 ) / 6

LCM(870,361,336) = 105527520 / 6

LCM(870,361,336) = 17587920


Lets's calculate GCF of 57,90,573

3 57, 90, 573
19, 30, 191

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17587920/3

Therefore the LCM of Fractions 870/57,361/90,336/573 is 5862640

Greatest Common Factor of 57,90,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,90,573 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 57,90,573 . The biggest common factor number is the GCF number.
So the greatest common factor 57,90,573 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 870/57, 361/90, 336/573

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 870/57, 361/90, 336/573?

Answer: LCM of Numerators as per given numbers 870/57, 361/90, 336/573 is

LCM of Numerators i.e. for 870,361,336 is 17587920

GCF of denominators i.e. for 57,90,573 is 3.

Thus, LCM of Fractions is 5862640.Finally, LCM of Fractions for 870/57, 361/90, 336/573 is 5862640.