Least Common Multiple of 76/57, 438/87, 205/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/57, 438/87, 205/354 quickly i.e. 1137340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/57, 438/87, 205/354 is 1137340.

LCM(76/57, 438/87, 205/354) = 1137340

LCM of 76/57, 438/87, 205/354

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 76/57,438/87,205/354

Given numbers are 76/57,438/87,205/354

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 76,438,205

Least Common Multiple of Numerators i.e. LCM of 76,438,205 is 3412020.

GCF of Denominators means GCF of 57,87,354 as per the given fractions.

GCF of 57,87,354 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,438,205

LCM of Fractions 76/57,438/87,205/354 is 1137340

2 76, 438, 205
38, 219, 205

∴ So the LCM of the given numbers is 2 x 38 x 219 x 205 = 3412020

Least Common Multiple of 76,438,205 with GCF Formula

Least Common Multiple of 76,438,205 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 76,438,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,438,205) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,438,205) x common factors =1 x 2 = 2

LCM(76,438,205) = ( 76 × 438 × 205 ) / 2

LCM(76,438,205) = 6824040 / 2

LCM(76,438,205) = 3412020


Lets's calculate GCF of 57,87,354

3 57, 87, 354
19, 29, 118

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3412020/3

Therefore the LCM of Fractions 76/57,438/87,205/354 is 1137340

Greatest Common Factor of 57,87,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,87,354 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 57,87,354 . The biggest common factor number is the GCF number.
So the greatest common factor 57,87,354 is 3.


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 76/57, 438/87, 205/354

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 76/57, 438/87, 205/354?

Answer: LCM of Numerators as per given numbers 76/57, 438/87, 205/354 is

LCM of Numerators i.e. for 76,438,205 is 3412020

GCF of denominators i.e. for 57,87,354 is 3.

Thus, LCM of Fractions is 1137340.Finally, LCM of Fractions for 76/57, 438/87, 205/354 is 1137340.