Least Common Multiple of 376/765, 162/879, 278/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 376/765, 162/879, 278/141 quickly i.e. 1411128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 376/765, 162/879, 278/141 is 1411128.

LCM(376/765, 162/879, 278/141) = 1411128

LCM of 376/765, 162/879, 278/141

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 376/765,162/879,278/141

Given numbers are 376/765,162/879,278/141

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 376,162,278

Least Common Multiple of Numerators i.e. LCM of 376,162,278 is 4233384.

GCF of Denominators means GCF of 765,879,141 as per the given fractions.

GCF of 765,879,141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 376,162,278

LCM of Fractions 376/765,162/879,278/141 is 1411128

2 376, 162, 278
188, 81, 139

∴ So the LCM of the given numbers is 2 x 188 x 81 x 139 = 4233384

Least Common Multiple of 376,162,278 with GCF Formula

Least Common Multiple of 376,162,278 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 376,162,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,162,278) = 2

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

GCF(376,162,278) x common factors =2 x 2 = 4

LCM(376,162,278) = ( 376 × 162 × 278 ) / 4

LCM(376,162,278) = 16933536 / 4

LCM(376,162,278) = 4233384


Lets's calculate GCF of 765,879,141

3 765, 879, 141
255, 293, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4233384/3

Therefore the LCM of Fractions 376/765,162/879,278/141 is 1411128

Greatest Common Factor of 765,879,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,879,141 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 765,879,141 . The biggest common factor number is the GCF number.
So the greatest common factor 765,879,141 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 376/765, 162/879, 278/141

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 376/765, 162/879, 278/141?

Answer: LCM of Numerators as per given numbers 376/765, 162/879, 278/141 is

LCM of Numerators i.e. for 376,162,278 is 4233384

GCF of denominators i.e. for 765,879,141 is 3.

Thus, LCM of Fractions is 1411128.Finally, LCM of Fractions for 376/765, 162/879, 278/141 is 1411128.