Least Common Multiple of 821/95, 292/51, 897/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/95, 292/51, 897/824 quickly i.e. 215039604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/95, 292/51, 897/824 is 215039604.

LCM(821/95, 292/51, 897/824) = 215039604

LCM of 821/95, 292/51, 897/824

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 821/95,292/51,897/824

Given numbers are 821/95,292/51,897/824

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 821,292,897

Least Common Multiple of Numerators i.e. LCM of 821,292,897 is 215039604.

GCF of Denominators means GCF of 95,51,824 as per the given fractions.

GCF of 95,51,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,292,897

LCM of Fractions 821/95,292/51,897/824 is 215039604

Given numbers has no common factors except 1. So, there LCM is their product i.e 215039604

Least Common Multiple of 821,292,897 with GCF Formula

Least Common Multiple of 821,292,897 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 821,292,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,292,897) = 1

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

GCF(821,292,897) x common factors =1 x 1 = 1

LCM(821,292,897) = ( 821 × 292 × 897 ) / 1

LCM(821,292,897) = 215039604 / 1

LCM(821,292,897) = 215039604


Lets's calculate GCF of 95,51,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215039604/1

Therefore the LCM of Fractions 821/95,292/51,897/824 is 215039604

Greatest Common Factor of 95,51,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,51,824 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 95,51,824 . The biggest common factor number is the GCF number.
So the greatest common factor 95,51,824 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 821/95, 292/51, 897/824

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 821/95, 292/51, 897/824?

Answer: LCM of Numerators as per given numbers 821/95, 292/51, 897/824 is

LCM of Numerators i.e. for 821,292,897 is 215039604

GCF of denominators i.e. for 95,51,824 is 1.

Thus, LCM of Fractions is 215039604.Finally, LCM of Fractions for 821/95, 292/51, 897/824 is 215039604.