Least Common Multiple of 57/903, 340/351, 804/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/903, 340/351, 804/757 quickly i.e. 1298460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/903, 340/351, 804/757 is 1298460.

LCM(57/903, 340/351, 804/757) = 1298460

LCM of 57/903, 340/351, 804/757

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 57/903,340/351,804/757

Given numbers are 57/903,340/351,804/757

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 57,340,804

Least Common Multiple of Numerators i.e. LCM of 57,340,804 is 1298460.

GCF of Denominators means GCF of 903,351,757 as per the given fractions.

GCF of 903,351,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,340,804

LCM of Fractions 57/903,340/351,804/757 is 1298460

2 57, 340, 804
2 57, 170, 402
3 57, 85, 201
19, 85, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 85 x 67 = 1298460

Least Common Multiple of 57,340,804 with GCF Formula

Least Common Multiple of 57,340,804 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 57,340,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,340,804) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(57,340,804) x common factors =1 x 12 = 12

LCM(57,340,804) = ( 57 × 340 × 804 ) / 12

LCM(57,340,804) = 15581520 / 12

LCM(57,340,804) = 1298460


Lets's calculate GCF of 903,351,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1298460/1

Therefore the LCM of Fractions 57/903,340/351,804/757 is 1298460

Greatest Common Factor of 903,351,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,351,757 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 903,351,757 . The biggest common factor number is the GCF number.
So the greatest common factor 903,351,757 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/903, 340/351, 804/757

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 57/903, 340/351, 804/757?

Answer: LCM of Numerators as per given numbers 57/903, 340/351, 804/757 is

LCM of Numerators i.e. for 57,340,804 is 1298460

GCF of denominators i.e. for 903,351,757 is 1.

Thus, LCM of Fractions is 1298460.Finally, LCM of Fractions for 57/903, 340/351, 804/757 is 1298460.