Least Common Multiple of 42/633, 453/443, 261/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/633, 453/443, 261/684 quickly i.e. 551754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/633, 453/443, 261/684 is 551754.

LCM(42/633, 453/443, 261/684) = 551754

LCM of 42/633, 453/443, 261/684

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 42/633,453/443,261/684

Given numbers are 42/633,453/443,261/684

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 42,453,261

Least Common Multiple of Numerators i.e. LCM of 42,453,261 is 551754.

GCF of Denominators means GCF of 633,443,684 as per the given fractions.

GCF of 633,443,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,453,261

LCM of Fractions 42/633,453/443,261/684 is 551754

3 42, 453, 261
14, 151, 87

∴ So the LCM of the given numbers is 3 x 14 x 151 x 87 = 551754

Least Common Multiple of 42,453,261 with GCF Formula

Least Common Multiple of 42,453,261 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 42,453,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,453,261) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(42,453,261) x common factors =3 x 3 = 9

LCM(42,453,261) = ( 42 × 453 × 261 ) / 9

LCM(42,453,261) = 4965786 / 9

LCM(42,453,261) = 551754


Lets's calculate GCF of 633,443,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551754/1

Therefore the LCM of Fractions 42/633,453/443,261/684 is 551754

Greatest Common Factor of 633,443,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,443,684 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 633,443,684 . The biggest common factor number is the GCF number.
So the greatest common factor 633,443,684 is 1.


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 42/633, 453/443, 261/684

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 42/633, 453/443, 261/684?

Answer: LCM of Numerators as per given numbers 42/633, 453/443, 261/684 is

LCM of Numerators i.e. for 42,453,261 is 551754

GCF of denominators i.e. for 633,443,684 is 1.

Thus, LCM of Fractions is 551754.Finally, LCM of Fractions for 42/633, 453/443, 261/684 is 551754.