Least Common Multiple of 57/907, 61/428, 351/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/907, 61/428, 351/399 quickly i.e. 406809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/907, 61/428, 351/399 is 406809.

LCM(57/907, 61/428, 351/399) = 406809

LCM of 57/907, 61/428, 351/399

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 57/907,61/428,351/399

Given numbers are 57/907,61/428,351/399

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 57,61,351

Least Common Multiple of Numerators i.e. LCM of 57,61,351 is 406809.

GCF of Denominators means GCF of 907,428,399 as per the given fractions.

GCF of 907,428,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,61,351

LCM of Fractions 57/907,61/428,351/399 is 406809

3 57, 61, 351
19, 61, 117

∴ So the LCM of the given numbers is 3 x 19 x 61 x 117 = 406809

Least Common Multiple of 57,61,351 with GCF Formula

Least Common Multiple of 57,61,351 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 57,61,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,61,351) = 1

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

GCF(57,61,351) x common factors =1 x 3 = 3

LCM(57,61,351) = ( 57 × 61 × 351 ) / 3

LCM(57,61,351) = 1220427 / 3

LCM(57,61,351) = 406809


Lets's calculate GCF of 907,428,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406809/1

Therefore the LCM of Fractions 57/907,61/428,351/399 is 406809

Greatest Common Factor of 907,428,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,428,399 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 907,428,399 . The biggest common factor number is the GCF number.
So the greatest common factor 907,428,399 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 57/907, 61/428, 351/399

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 57/907, 61/428, 351/399?

Answer: LCM of Numerators as per given numbers 57/907, 61/428, 351/399 is

LCM of Numerators i.e. for 57,61,351 is 406809

GCF of denominators i.e. for 907,428,399 is 1.

Thus, LCM of Fractions is 406809.Finally, LCM of Fractions for 57/907, 61/428, 351/399 is 406809.