Least Common Multiple of 828/55, 239/54, 747/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/55, 239/54, 747/197 quickly i.e. 16425036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/55, 239/54, 747/197 is 16425036.

LCM(828/55, 239/54, 747/197) = 16425036

LCM of 828/55, 239/54, 747/197

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 828/55,239/54,747/197

Given numbers are 828/55,239/54,747/197

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 828,239,747

Least Common Multiple of Numerators i.e. LCM of 828,239,747 is 16425036.

GCF of Denominators means GCF of 55,54,197 as per the given fractions.

GCF of 55,54,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,239,747

LCM of Fractions 828/55,239/54,747/197 is 16425036

3 828, 239, 747
3 276, 239, 249
92, 239, 83

∴ So the LCM of the given numbers is 3 x 3 x 92 x 239 x 83 = 16425036

Least Common Multiple of 828,239,747 with GCF Formula

Least Common Multiple of 828,239,747 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 828,239,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,239,747) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(828,239,747) x common factors =1 x 9 = 9

LCM(828,239,747) = ( 828 × 239 × 747 ) / 9

LCM(828,239,747) = 147825324 / 9

LCM(828,239,747) = 16425036


Lets's calculate GCF of 55,54,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16425036/1

Therefore the LCM of Fractions 828/55,239/54,747/197 is 16425036

Greatest Common Factor of 55,54,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,54,197 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 55,54,197 . The biggest common factor number is the GCF number.
So the greatest common factor 55,54,197 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 828/55, 239/54, 747/197

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 828/55, 239/54, 747/197?

Answer: LCM of Numerators as per given numbers 828/55, 239/54, 747/197 is

LCM of Numerators i.e. for 828,239,747 is 16425036

GCF of denominators i.e. for 55,54,197 is 1.

Thus, LCM of Fractions is 16425036.Finally, LCM of Fractions for 828/55, 239/54, 747/197 is 16425036.