Least Common Multiple of 64/92, 26/16, 258/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/92, 26/16, 258/949 quickly i.e. 107328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/92, 26/16, 258/949 is 107328.

LCM(64/92, 26/16, 258/949) = 107328

LCM of 64/92, 26/16, 258/949

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 64/92,26/16,258/949

Given numbers are 64/92,26/16,258/949

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 64,26,258

Least Common Multiple of Numerators i.e. LCM of 64,26,258 is 107328.

GCF of Denominators means GCF of 92,16,949 as per the given fractions.

GCF of 92,16,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,26,258

LCM of Fractions 64/92,26/16,258/949 is 107328

2 64, 26, 258
32, 13, 129

∴ So the LCM of the given numbers is 2 x 32 x 13 x 129 = 107328

Least Common Multiple of 64,26,258 with GCF Formula

Least Common Multiple of 64,26,258 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 64,26,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,26,258) = 2

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

GCF(64,26,258) x common factors =2 x 2 = 4

LCM(64,26,258) = ( 64 × 26 × 258 ) / 4

LCM(64,26,258) = 429312 / 4

LCM(64,26,258) = 107328


Lets's calculate GCF of 92,16,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107328/1

Therefore the LCM of Fractions 64/92,26/16,258/949 is 107328

Greatest Common Factor of 92,16,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,16,949 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 92,16,949 . The biggest common factor number is the GCF number.
So the greatest common factor 92,16,949 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/92, 26/16, 258/949

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 64/92, 26/16, 258/949?

Answer: LCM of Numerators as per given numbers 64/92, 26/16, 258/949 is

LCM of Numerators i.e. for 64,26,258 is 107328

GCF of denominators i.e. for 92,16,949 is 1.

Thus, LCM of Fractions is 107328.Finally, LCM of Fractions for 64/92, 26/16, 258/949 is 107328.