Least Common Multiple of 286/51, 321/42, 354/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/51, 321/42, 354/876 quickly i.e. 1805518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/51, 321/42, 354/876 is 1805518.

LCM(286/51, 321/42, 354/876) = 1805518

LCM of 286/51, 321/42, 354/876

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 286/51,321/42,354/876

Given numbers are 286/51,321/42,354/876

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 286,321,354

Least Common Multiple of Numerators i.e. LCM of 286,321,354 is 5416554.

GCF of Denominators means GCF of 51,42,876 as per the given fractions.

GCF of 51,42,876 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,321,354

LCM of Fractions 286/51,321/42,354/876 is 1805518

2 286, 321, 354
3 143, 321, 177
143, 107, 59

∴ So the LCM of the given numbers is 2 x 3 x 143 x 107 x 59 = 5416554

Least Common Multiple of 286,321,354 with GCF Formula

Least Common Multiple of 286,321,354 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 286,321,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,321,354) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(286,321,354) x common factors =1 x 6 = 6

LCM(286,321,354) = ( 286 × 321 × 354 ) / 6

LCM(286,321,354) = 32499324 / 6

LCM(286,321,354) = 5416554


Lets's calculate GCF of 51,42,876

3 51, 42, 876
17, 14, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5416554/3

Therefore the LCM of Fractions 286/51,321/42,354/876 is 1805518

Greatest Common Factor of 51,42,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,42,876 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 51,42,876 . The biggest common factor number is the GCF number.
So the greatest common factor 51,42,876 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 286/51, 321/42, 354/876

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 286/51, 321/42, 354/876?

Answer: LCM of Numerators as per given numbers 286/51, 321/42, 354/876 is

LCM of Numerators i.e. for 286,321,354 is 5416554

GCF of denominators i.e. for 51,42,876 is 3.

Thus, LCM of Fractions is 1805518.Finally, LCM of Fractions for 286/51, 321/42, 354/876 is 1805518.