Least Common Multiple of 234/86, 249/76, 202/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 234/86, 249/76, 202/604 quickly i.e. 980811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/86, 249/76, 202/604 is 980811.

LCM(234/86, 249/76, 202/604) = 980811

LCM of 234/86, 249/76, 202/604

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 234/86,249/76,202/604

Given numbers are 234/86,249/76,202/604

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 234,249,202

Least Common Multiple of Numerators i.e. LCM of 234,249,202 is 1961622.

GCF of Denominators means GCF of 86,76,604 as per the given fractions.

GCF of 86,76,604 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,249,202

LCM of Fractions 234/86,249/76,202/604 is 980811

2 234, 249, 202
3 117, 249, 101
39, 83, 101

∴ So the LCM of the given numbers is 2 x 3 x 39 x 83 x 101 = 1961622

Least Common Multiple of 234,249,202 with GCF Formula

Least Common Multiple of 234,249,202 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 234,249,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,249,202) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(234,249,202) x common factors =1 x 6 = 6

LCM(234,249,202) = ( 234 × 249 × 202 ) / 6

LCM(234,249,202) = 11769732 / 6

LCM(234,249,202) = 1961622


Lets's calculate GCF of 86,76,604

2 86, 76, 604
43, 38, 302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1961622/2

Therefore the LCM of Fractions 234/86,249/76,202/604 is 980811

Greatest Common Factor of 86,76,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,76,604 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 86,76,604 . The biggest common factor number is the GCF number.
So the greatest common factor 86,76,604 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 234/86, 249/76, 202/604

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 234/86, 249/76, 202/604?

Answer: LCM of Numerators as per given numbers 234/86, 249/76, 202/604 is

LCM of Numerators i.e. for 234,249,202 is 1961622

GCF of denominators i.e. for 86,76,604 is 2.

Thus, LCM of Fractions is 980811.Finally, LCM of Fractions for 234/86, 249/76, 202/604 is 980811.