Least Common Multiple of 356/57, 306/51, 534/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/57, 306/51, 534/78 quickly i.e. 18156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/57, 306/51, 534/78 is 18156.

LCM(356/57, 306/51, 534/78) = 18156

LCM of 356/57, 306/51, 534/78

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 356/57,306/51,534/78

Given numbers are 356/57,306/51,534/78

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 356,306,534

Least Common Multiple of Numerators i.e. LCM of 356,306,534 is 54468.

GCF of Denominators means GCF of 57,51,78 as per the given fractions.

GCF of 57,51,78 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,306,534

LCM of Fractions 356/57,306/51,534/78 is 18156

2 356, 306, 534
3 178, 153, 267
89 178, 51, 89
2, 51, 1

∴ So the LCM of the given numbers is 2 x 3 x 89 x 2 x 51 x 1 = 54468

Least Common Multiple of 356,306,534 with GCF Formula

Least Common Multiple of 356,306,534 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 356,306,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,306,534) = 2

common factors(in case of two or more numbers have common factors) = 534

GCF(356,306,534) x common factors =2 x 534 = 1068

LCM(356,306,534) = ( 356 × 306 × 534 ) / 1068

LCM(356,306,534) = 58171824 / 1068

LCM(356,306,534) = 54468


Lets's calculate GCF of 57,51,78

3 57, 51, 78
19, 17, 26

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54468/3

Therefore the LCM of Fractions 356/57,306/51,534/78 is 18156

Greatest Common Factor of 57,51,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,51,78 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 51

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

1,3,17,51

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 57,51,78 . The biggest common factor number is the GCF number.
So the greatest common factor 57,51,78 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 356/57, 306/51, 534/78

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 356/57, 306/51, 534/78?

Answer: LCM of Numerators as per given numbers 356/57, 306/51, 534/78 is

LCM of Numerators i.e. for 356,306,534 is 54468

GCF of denominators i.e. for 57,51,78 is 3.

Thus, LCM of Fractions is 18156.Finally, LCM of Fractions for 356/57, 306/51, 534/78 is 18156.