Least Common Multiple of 86/234, 52/742, 421/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/234, 52/742, 421/277 quickly i.e. 941356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/234, 52/742, 421/277 is 941356.

LCM(86/234, 52/742, 421/277) = 941356

LCM of 86/234, 52/742, 421/277

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 86/234,52/742,421/277

Given numbers are 86/234,52/742,421/277

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 86,52,421

Least Common Multiple of Numerators i.e. LCM of 86,52,421 is 941356.

GCF of Denominators means GCF of 234,742,277 as per the given fractions.

GCF of 234,742,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,52,421

LCM of Fractions 86/234,52/742,421/277 is 941356

2 86, 52, 421
43, 26, 421

∴ So the LCM of the given numbers is 2 x 43 x 26 x 421 = 941356

Least Common Multiple of 86,52,421 with GCF Formula

Least Common Multiple of 86,52,421 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 86,52,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,52,421) = 1

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

GCF(86,52,421) x common factors =1 x 2 = 2

LCM(86,52,421) = ( 86 × 52 × 421 ) / 2

LCM(86,52,421) = 1882712 / 2

LCM(86,52,421) = 941356


Lets's calculate GCF of 234,742,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 941356/1

Therefore the LCM of Fractions 86/234,52/742,421/277 is 941356

Greatest Common Factor of 234,742,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,742,277 By Matching Biggest Common Factor Method

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

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 234,742,277 . The biggest common factor number is the GCF number.
So the greatest common factor 234,742,277 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 86/234, 52/742, 421/277

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 86/234, 52/742, 421/277?

Answer: LCM of Numerators as per given numbers 86/234, 52/742, 421/277 is

LCM of Numerators i.e. for 86,52,421 is 941356

GCF of denominators i.e. for 234,742,277 is 1.

Thus, LCM of Fractions is 941356.Finally, LCM of Fractions for 86/234, 52/742, 421/277 is 941356.