Least Common Multiple of 989/92, 256/6608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 989/92, 256/6608 quickly i.e. 63296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/92, 256/6608 is 63296.

LCM(989/92, 256/6608) = 63296

LCM of 989/92, 256/6608

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 989/92,256/6608

Given numbers are 989/92,256/6608

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 989,256

Least Common Multiple of Numerators i.e. LCM of 989,256 is 253184.

GCF of Denominators means GCF of 92,6608 as per the given fractions.

GCF of 92,6608 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,256

LCM of Fractions 989/92,256/6608 is 63296

Given numbers has no common factors except 1. So, there LCM is their product i.e 253184

Least Common Multiple of 989,256 with GCF Formula

Least Common Multiple of 989,256 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 989,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,256) = 1

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

GCF(989,256) x common factors =1 x 1 = 1

LCM(989,256) = ( 989 × 256 ) / 1

LCM(989,256) = 253184 / 1

LCM(989,256) = 253184


Lets's calculate GCF of 92,6608

2 92, 6608
2 46, 3304
23, 1652

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253184/4

Therefore the LCM of Fractions 989/92,256/6608 is 63296

Greatest Common Factor of 92,6608 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,6608 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608

Greatest Common Factor

We found the factors 92,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 92,6608 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 989/92, 256/6608

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 989/92, 256/6608?

Answer: LCM of Numerators as per given numbers 989/92, 256/6608 is

LCM of Numerators i.e. for 989,256 is 253184

GCF of denominators i.e. for 92,6608 is 4.

Thus, LCM of Fractions is 63296.Finally, LCM of Fractions for 989/92, 256/6608 is 63296.