Least Common Multiple of 64/608, 389/996, 874/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/608, 389/996, 874/234 quickly i.e. 5439776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/608, 389/996, 874/234 is 5439776.

LCM(64/608, 389/996, 874/234) = 5439776

LCM of 64/608, 389/996, 874/234

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 64/608,389/996,874/234

Given numbers are 64/608,389/996,874/234

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 64,389,874

Least Common Multiple of Numerators i.e. LCM of 64,389,874 is 10879552.

GCF of Denominators means GCF of 608,996,234 as per the given fractions.

GCF of 608,996,234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,389,874

LCM of Fractions 64/608,389/996,874/234 is 5439776

2 64, 389, 874
32, 389, 437

∴ So the LCM of the given numbers is 2 x 32 x 389 x 437 = 10879552

Least Common Multiple of 64,389,874 with GCF Formula

Least Common Multiple of 64,389,874 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 64,389,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,389,874) = 1

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

GCF(64,389,874) x common factors =1 x 2 = 2

LCM(64,389,874) = ( 64 × 389 × 874 ) / 2

LCM(64,389,874) = 21759104 / 2

LCM(64,389,874) = 10879552


Lets's calculate GCF of 608,996,234

2 608, 996, 234
304, 498, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10879552/2

Therefore the LCM of Fractions 64/608,389/996,874/234 is 5439776

Greatest Common Factor of 608,996,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,996,234 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 608,996,234 . The biggest common factor number is the GCF number.
So the greatest common factor 608,996,234 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/608, 389/996, 874/234

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 64/608, 389/996, 874/234?

Answer: LCM of Numerators as per given numbers 64/608, 389/996, 874/234 is

LCM of Numerators i.e. for 64,389,874 is 10879552

GCF of denominators i.e. for 608,996,234 is 2.

Thus, LCM of Fractions is 5439776.Finally, LCM of Fractions for 64/608, 389/996, 874/234 is 5439776.