Least Common Multiple of 959/392, 6687/1314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 959/392, 6687/1314 quickly i.e. 6412833/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 959/392, 6687/1314 is 6412833/2.

LCM(959/392, 6687/1314) = 6412833/2

LCM of 959/392, 6687/1314

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 959/392,6687/1314

Given numbers are 959/392,6687/1314

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 959,6687

Least Common Multiple of Numerators i.e. LCM of 959,6687 is 6412833.

GCF of Denominators means GCF of 392,1314 as per the given fractions.

GCF of 392,1314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 959,6687

LCM of Fractions 959/392,6687/1314 is 6412833/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 6412833

Least Common Multiple of 959,6687 with GCF Formula

Least Common Multiple of 959,6687 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 959,6687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,6687) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(959,6687) x common factors =1 x 1 = 1

LCM(959,6687) = ( 959 × 6687 ) / 1

LCM(959,6687) = 6412833 / 1

LCM(959,6687) = 6412833


Lets's calculate GCF of 392,1314

2 392, 1314
196, 657

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6412833/2

Therefore the LCM of Fractions 959/392,6687/1314 is 6412833/2

Greatest Common Factor of 392,1314 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,1314 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Greatest Common Factor

We found the factors 392,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 392,1314 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 959/392, 6687/1314

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 959/392, 6687/1314?

Answer: LCM of Numerators as per given numbers 959/392, 6687/1314 is

LCM of Numerators i.e. for 959,6687 is 6412833

GCF of denominators i.e. for 392,1314 is 2.

Thus, LCM of Fractions is 6412833/2.Finally, LCM of Fractions for 959/392, 6687/1314 is 6412833/2.