Least Common Multiple of 42/608, 551/206, 976/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/608, 551/206, 976/824 quickly i.e. 5646648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/608, 551/206, 976/824 is 5646648.

LCM(42/608, 551/206, 976/824) = 5646648

LCM of 42/608, 551/206, 976/824

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 42/608,551/206,976/824

Given numbers are 42/608,551/206,976/824

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 42,551,976

Least Common Multiple of Numerators i.e. LCM of 42,551,976 is 11293296.

GCF of Denominators means GCF of 608,206,824 as per the given fractions.

GCF of 608,206,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,551,976

LCM of Fractions 42/608,551/206,976/824 is 5646648

2 42, 551, 976
21, 551, 488

∴ So the LCM of the given numbers is 2 x 21 x 551 x 488 = 11293296

Least Common Multiple of 42,551,976 with GCF Formula

Least Common Multiple of 42,551,976 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 42,551,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,551,976) = 1

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

GCF(42,551,976) x common factors =1 x 2 = 2

LCM(42,551,976) = ( 42 × 551 × 976 ) / 2

LCM(42,551,976) = 22586592 / 2

LCM(42,551,976) = 11293296


Lets's calculate GCF of 608,206,824

2 608, 206, 824
304, 103, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11293296/2

Therefore the LCM of Fractions 42/608,551/206,976/824 is 5646648

Greatest Common Factor of 608,206,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,206,824 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 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 608,206,824 . The biggest common factor number is the GCF number.
So the greatest common factor 608,206,824 is 2.


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 42/608, 551/206, 976/824

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 42/608, 551/206, 976/824?

Answer: LCM of Numerators as per given numbers 42/608, 551/206, 976/824 is

LCM of Numerators i.e. for 42,551,976 is 11293296

GCF of denominators i.e. for 608,206,824 is 2.

Thus, LCM of Fractions is 5646648.Finally, LCM of Fractions for 42/608, 551/206, 976/824 is 5646648.