Least Common Multiple of 852/972, 397/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/972, 397/804 quickly i.e. 28187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/972, 397/804 is 28187.

LCM(852/972, 397/804) = 28187

LCM of 852/972, 397/804

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 852/972,397/804

Given numbers are 852/972,397/804

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 852,397

Least Common Multiple of Numerators i.e. LCM of 852,397 is 338244.

GCF of Denominators means GCF of 972,804 as per the given fractions.

GCF of 972,804 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,397

LCM of Fractions 852/972,397/804 is 28187

Given numbers has no common factors except 1. So, there LCM is their product i.e 338244

Least Common Multiple of 852,397 with GCF Formula

Least Common Multiple of 852,397 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 852,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,397) = 1

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

GCF(852,397) x common factors =1 x 1 = 1

LCM(852,397) = ( 852 × 397 ) / 1

LCM(852,397) = 338244 / 1

LCM(852,397) = 338244


Lets's calculate GCF of 972,804

2 972, 804
2 486, 402
3 243, 201
81, 67

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338244/12

Therefore the LCM of Fractions 852/972,397/804 is 28187

Greatest Common Factor of 972,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,804 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 972,804 . The biggest common factor number is the GCF number.
So the greatest common factor 972,804 is 12.


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 852/972, 397/804

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 852/972, 397/804?

Answer: LCM of Numerators as per given numbers 852/972, 397/804 is

LCM of Numerators i.e. for 852,397 is 338244

GCF of denominators i.e. for 972,804 is 12.

Thus, LCM of Fractions is 28187.Finally, LCM of Fractions for 852/972, 397/804 is 28187.