Least Common Multiple of 391/828, 239/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 391/828, 239/552 quickly i.e. 93449/276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/828, 239/552 is 93449/276.

LCM(391/828, 239/552) = 93449/276

LCM of 391/828, 239/552

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 391/828,239/552

Given numbers are 391/828,239/552

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 391,239

Least Common Multiple of Numerators i.e. LCM of 391,239 is 93449.

GCF of Denominators means GCF of 828,552 as per the given fractions.

GCF of 828,552 is 276 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,239

LCM of Fractions 391/828,239/552 is 93449/276

Given numbers has no common factors except 1. So, there LCM is their product i.e 93449

Least Common Multiple of 391,239 with GCF Formula

Least Common Multiple of 391,239 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 391,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,239) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(391,239) x common factors =1 x 1 = 1

LCM(391,239) = ( 391 × 239 ) / 1

LCM(391,239) = 93449 / 1

LCM(391,239) = 93449


Lets's calculate GCF of 828,552

2 828, 552
2 414, 276
3 207, 138
23 69, 46
3, 2

∴ So the GCF of the given numbers is 2 x 2 x 3 x 23 = 276

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93449/276

Therefore the LCM of Fractions 391/828,239/552 is 93449/276

Greatest Common Factor of 828,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,552 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 828,552 . The biggest common factor number is the GCF number.
So the greatest common factor 828,552 is 276.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 391/828, 239/552

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 391/828, 239/552?

Answer: LCM of Numerators as per given numbers 391/828, 239/552 is

LCM of Numerators i.e. for 391,239 is 93449

GCF of denominators i.e. for 828,552 is 276.

Thus, LCM of Fractions is 93449/276.Finally, LCM of Fractions for 391/828, 239/552 is 93449/276.