Least Common Multiple of 2616/70, 7982/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2616/70, 7982/343 quickly i.e. 10440456/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2616/70, 7982/343 is 10440456/7.

LCM(2616/70, 7982/343) = 10440456/7

LCM of 2616/70, 7982/343

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 2616/70,7982/343

Given numbers are 2616/70,7982/343

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 2616,7982

Least Common Multiple of Numerators i.e. LCM of 2616,7982 is 10440456.

GCF of Denominators means GCF of 70,343 as per the given fractions.

GCF of 70,343 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2616,7982

LCM of Fractions 2616/70,7982/343 is 10440456/7

2 2616, 7982
1308, 3991

∴ So the LCM of the given numbers is 2 x 1308 x 3991 = 10440456

Least Common Multiple of 2616,7982 with GCF Formula

Least Common Multiple of 2616,7982 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 2616,7982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2616,7982) = 2

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

GCF(2616,7982) x common factors =2 x 1 = 2

LCM(2616,7982) = ( 2616 × 7982 ) / 2

LCM(2616,7982) = 20880912 / 2

LCM(2616,7982) = 10440456


Lets's calculate GCF of 70,343

7 70, 343
10, 49

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10440456/7

Therefore the LCM of Fractions 2616/70,7982/343 is 10440456/7

Greatest Common Factor of 70,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,343 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 70,343 . The biggest common factor number is the GCF number.
So the greatest common factor 70,343 is 7.


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 2616/70, 7982/343

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 2616/70, 7982/343?

Answer: LCM of Numerators as per given numbers 2616/70, 7982/343 is

LCM of Numerators i.e. for 2616,7982 is 10440456

GCF of denominators i.e. for 70,343 is 7.

Thus, LCM of Fractions is 10440456/7.Finally, LCM of Fractions for 2616/70, 7982/343 is 10440456/7.