Least Common Multiple of 214/57, 402/67, 157/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/57, 402/67, 157/916 quickly i.e. 6753198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/57, 402/67, 157/916 is 6753198.

LCM(214/57, 402/67, 157/916) = 6753198

LCM of 214/57, 402/67, 157/916

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 214/57,402/67,157/916

Given numbers are 214/57,402/67,157/916

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 214,402,157

Least Common Multiple of Numerators i.e. LCM of 214,402,157 is 6753198.

GCF of Denominators means GCF of 57,67,916 as per the given fractions.

GCF of 57,67,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,402,157

LCM of Fractions 214/57,402/67,157/916 is 6753198

2 214, 402, 157
107, 201, 157

∴ So the LCM of the given numbers is 2 x 107 x 201 x 157 = 6753198

Least Common Multiple of 214,402,157 with GCF Formula

Least Common Multiple of 214,402,157 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 214,402,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,402,157) = 1

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

GCF(214,402,157) x common factors =1 x 2 = 2

LCM(214,402,157) = ( 214 × 402 × 157 ) / 2

LCM(214,402,157) = 13506396 / 2

LCM(214,402,157) = 6753198


Lets's calculate GCF of 57,67,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6753198/1

Therefore the LCM of Fractions 214/57,402/67,157/916 is 6753198

Greatest Common Factor of 57,67,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,67,916 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 57,67,916 . The biggest common factor number is the GCF number.
So the greatest common factor 57,67,916 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 214/57, 402/67, 157/916

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 214/57, 402/67, 157/916?

Answer: LCM of Numerators as per given numbers 214/57, 402/67, 157/916 is

LCM of Numerators i.e. for 214,402,157 is 6753198

GCF of denominators i.e. for 57,67,916 is 1.

Thus, LCM of Fractions is 6753198.Finally, LCM of Fractions for 214/57, 402/67, 157/916 is 6753198.