Least Common Multiple of 52/574, 62/741, 312/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/574, 62/741, 312/880 quickly i.e. 9672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/574, 62/741, 312/880 is 9672.

LCM(52/574, 62/741, 312/880) = 9672

LCM of 52/574, 62/741, 312/880

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 52/574,62/741,312/880

Given numbers are 52/574,62/741,312/880

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 52,62,312

Least Common Multiple of Numerators i.e. LCM of 52,62,312 is 9672.

GCF of Denominators means GCF of 574,741,880 as per the given fractions.

GCF of 574,741,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,62,312

LCM of Fractions 52/574,62/741,312/880 is 9672

2 52, 62, 312
2 26, 31, 156
13 13, 31, 78
1, 31, 6

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 31 x 6 = 9672

Least Common Multiple of 52,62,312 with GCF Formula

Least Common Multiple of 52,62,312 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 52,62,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,62,312) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(52,62,312) x common factors =2 x 52 = 104

LCM(52,62,312) = ( 52 × 62 × 312 ) / 104

LCM(52,62,312) = 1005888 / 104

LCM(52,62,312) = 9672


Lets's calculate GCF of 574,741,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9672/1

Therefore the LCM of Fractions 52/574,62/741,312/880 is 9672

Greatest Common Factor of 574,741,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,741,880 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 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 574,741,880 . The biggest common factor number is the GCF number.
So the greatest common factor 574,741,880 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 52/574, 62/741, 312/880

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 52/574, 62/741, 312/880?

Answer: LCM of Numerators as per given numbers 52/574, 62/741, 312/880 is

LCM of Numerators i.e. for 52,62,312 is 9672

GCF of denominators i.e. for 574,741,880 is 1.

Thus, LCM of Fractions is 9672.Finally, LCM of Fractions for 52/574, 62/741, 312/880 is 9672.