Least Common Multiple of 57/426, 51/991, 674/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/426, 51/991, 674/738 quickly i.e. 653106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/426, 51/991, 674/738 is 653106.

LCM(57/426, 51/991, 674/738) = 653106

LCM of 57/426, 51/991, 674/738

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 57/426,51/991,674/738

Given numbers are 57/426,51/991,674/738

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 57,51,674

Least Common Multiple of Numerators i.e. LCM of 57,51,674 is 653106.

GCF of Denominators means GCF of 426,991,738 as per the given fractions.

GCF of 426,991,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,51,674

LCM of Fractions 57/426,51/991,674/738 is 653106

3 57, 51, 674
19, 17, 674

∴ So the LCM of the given numbers is 3 x 19 x 17 x 674 = 653106

Least Common Multiple of 57,51,674 with GCF Formula

Least Common Multiple of 57,51,674 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 57,51,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,51,674) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,51,674) x common factors =1 x 3 = 3

LCM(57,51,674) = ( 57 × 51 × 674 ) / 3

LCM(57,51,674) = 1959318 / 3

LCM(57,51,674) = 653106


Lets's calculate GCF of 426,991,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653106/1

Therefore the LCM of Fractions 57/426,51/991,674/738 is 653106

Greatest Common Factor of 426,991,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,991,738 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 426,991,738 . The biggest common factor number is the GCF number.
So the greatest common factor 426,991,738 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 57/426, 51/991, 674/738

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 57/426, 51/991, 674/738?

Answer: LCM of Numerators as per given numbers 57/426, 51/991, 674/738 is

LCM of Numerators i.e. for 57,51,674 is 653106

GCF of denominators i.e. for 426,991,738 is 1.

Thus, LCM of Fractions is 653106.Finally, LCM of Fractions for 57/426, 51/991, 674/738 is 653106.