Least Common Multiple of 294/574, 700/531, 880/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/574, 700/531, 880/156 quickly i.e. 646800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/574, 700/531, 880/156 is 646800.

LCM(294/574, 700/531, 880/156) = 646800

LCM of 294/574, 700/531, 880/156

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 294/574,700/531,880/156

Given numbers are 294/574,700/531,880/156

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 294,700,880

Least Common Multiple of Numerators i.e. LCM of 294,700,880 is 646800.

GCF of Denominators means GCF of 574,531,156 as per the given fractions.

GCF of 574,531,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,700,880

LCM of Fractions 294/574,700/531,880/156 is 646800

2 294, 700, 880
2 147, 350, 440
5 147, 175, 220
7 147, 35, 44
21, 5, 44

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 21 x 5 x 44 = 646800

Least Common Multiple of 294,700,880 with GCF Formula

Least Common Multiple of 294,700,880 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 294,700,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,700,880) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(294,700,880) x common factors =2 x 140 = 280

LCM(294,700,880) = ( 294 × 700 × 880 ) / 280

LCM(294,700,880) = 181104000 / 280

LCM(294,700,880) = 646800


Lets's calculate GCF of 574,531,156

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646800/1

Therefore the LCM of Fractions 294/574,700/531,880/156 is 646800

Greatest Common Factor of 574,531,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,531,156 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 574,531,156 . The biggest common factor number is the GCF number.
So the greatest common factor 574,531,156 is 1.


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 294/574, 700/531, 880/156

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 294/574, 700/531, 880/156?

Answer: LCM of Numerators as per given numbers 294/574, 700/531, 880/156 is

LCM of Numerators i.e. for 294,700,880 is 646800

GCF of denominators i.e. for 574,531,156 is 1.

Thus, LCM of Fractions is 646800.Finally, LCM of Fractions for 294/574, 700/531, 880/156 is 646800.