Least Common Multiple of 92/238, 90/119, 398/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/238, 90/119, 398/549 quickly i.e. 823860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/238, 90/119, 398/549 is 823860.

LCM(92/238, 90/119, 398/549) = 823860

LCM of 92/238, 90/119, 398/549

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 92/238,90/119,398/549

Given numbers are 92/238,90/119,398/549

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 92,90,398

Least Common Multiple of Numerators i.e. LCM of 92,90,398 is 823860.

GCF of Denominators means GCF of 238,119,549 as per the given fractions.

GCF of 238,119,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,90,398

LCM of Fractions 92/238,90/119,398/549 is 823860

2 92, 90, 398
46, 45, 199

∴ So the LCM of the given numbers is 2 x 46 x 45 x 199 = 823860

Least Common Multiple of 92,90,398 with GCF Formula

Least Common Multiple of 92,90,398 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 92,90,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,90,398) = 2

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

GCF(92,90,398) x common factors =2 x 2 = 4

LCM(92,90,398) = ( 92 × 90 × 398 ) / 4

LCM(92,90,398) = 3295440 / 4

LCM(92,90,398) = 823860


Lets's calculate GCF of 238,119,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 823860/1

Therefore the LCM of Fractions 92/238,90/119,398/549 is 823860

Greatest Common Factor of 238,119,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,119,549 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 238,119,549 . The biggest common factor number is the GCF number.
So the greatest common factor 238,119,549 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 92/238, 90/119, 398/549

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 92/238, 90/119, 398/549?

Answer: LCM of Numerators as per given numbers 92/238, 90/119, 398/549 is

LCM of Numerators i.e. for 92,90,398 is 823860

GCF of denominators i.e. for 238,119,549 is 1.

Thus, LCM of Fractions is 823860.Finally, LCM of Fractions for 92/238, 90/119, 398/549 is 823860.