Least Common Multiple of 7118/968, 2358/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7118/968, 2358/322 quickly i.e. 4196061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7118/968, 2358/322 is 4196061.

LCM(7118/968, 2358/322) = 4196061

LCM of 7118/968, 2358/322

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 7118/968,2358/322

Given numbers are 7118/968,2358/322

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 7118,2358

Least Common Multiple of Numerators i.e. LCM of 7118,2358 is 8392122.

GCF of Denominators means GCF of 968,322 as per the given fractions.

GCF of 968,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7118,2358

LCM of Fractions 7118/968,2358/322 is 4196061

2 7118, 2358
3559, 1179

∴ So the LCM of the given numbers is 2 x 3559 x 1179 = 8392122

Least Common Multiple of 7118,2358 with GCF Formula

Least Common Multiple of 7118,2358 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 7118,2358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7118,2358) = 2

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

GCF(7118,2358) x common factors =2 x 1 = 2

LCM(7118,2358) = ( 7118 × 2358 ) / 2

LCM(7118,2358) = 16784244 / 2

LCM(7118,2358) = 8392122


Lets's calculate GCF of 968,322

2 968, 322
484, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8392122/2

Therefore the LCM of Fractions 7118/968,2358/322 is 4196061

Greatest Common Factor of 968,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,322 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 968,322 . The biggest common factor number is the GCF number.
So the greatest common factor 968,322 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7118/968, 2358/322

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 7118/968, 2358/322?

Answer: LCM of Numerators as per given numbers 7118/968, 2358/322 is

LCM of Numerators i.e. for 7118,2358 is 8392122

GCF of denominators i.e. for 968,322 is 2.

Thus, LCM of Fractions is 4196061.Finally, LCM of Fractions for 7118/968, 2358/322 is 4196061.