Least Common Multiple of 229/362, 852/951, 261/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/362, 852/951, 261/920 quickly i.e. 16974396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/362, 852/951, 261/920 is 16974396.

LCM(229/362, 852/951, 261/920) = 16974396

LCM of 229/362, 852/951, 261/920

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 229/362,852/951,261/920

Given numbers are 229/362,852/951,261/920

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 229,852,261

Least Common Multiple of Numerators i.e. LCM of 229,852,261 is 16974396.

GCF of Denominators means GCF of 362,951,920 as per the given fractions.

GCF of 362,951,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,852,261

LCM of Fractions 229/362,852/951,261/920 is 16974396

3 229, 852, 261
229, 284, 87

∴ So the LCM of the given numbers is 3 x 229 x 284 x 87 = 16974396

Least Common Multiple of 229,852,261 with GCF Formula

Least Common Multiple of 229,852,261 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 229,852,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,852,261) = 1

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

GCF(229,852,261) x common factors =1 x 3 = 3

LCM(229,852,261) = ( 229 × 852 × 261 ) / 3

LCM(229,852,261) = 50923188 / 3

LCM(229,852,261) = 16974396


Lets's calculate GCF of 362,951,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16974396/1

Therefore the LCM of Fractions 229/362,852/951,261/920 is 16974396

Greatest Common Factor of 362,951,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,951,920 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 362,951,920 . The biggest common factor number is the GCF number.
So the greatest common factor 362,951,920 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 229/362, 852/951, 261/920

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 229/362, 852/951, 261/920?

Answer: LCM of Numerators as per given numbers 229/362, 852/951, 261/920 is

LCM of Numerators i.e. for 229,852,261 is 16974396

GCF of denominators i.e. for 362,951,920 is 1.

Thus, LCM of Fractions is 16974396.Finally, LCM of Fractions for 229/362, 852/951, 261/920 is 16974396.