Least Common Multiple of 897/981, 536/892, 251/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/981, 536/892, 251/514 quickly i.e. 120678792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/981, 536/892, 251/514 is 120678792.

LCM(897/981, 536/892, 251/514) = 120678792

LCM of 897/981, 536/892, 251/514

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 897/981,536/892,251/514

Given numbers are 897/981,536/892,251/514

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 897,536,251

Least Common Multiple of Numerators i.e. LCM of 897,536,251 is 120678792.

GCF of Denominators means GCF of 981,892,514 as per the given fractions.

GCF of 981,892,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,536,251

LCM of Fractions 897/981,536/892,251/514 is 120678792

Given numbers has no common factors except 1. So, there LCM is their product i.e 120678792

Least Common Multiple of 897,536,251 with GCF Formula

Least Common Multiple of 897,536,251 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 897,536,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,536,251) = 1

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

GCF(897,536,251) x common factors =1 x 1 = 1

LCM(897,536,251) = ( 897 × 536 × 251 ) / 1

LCM(897,536,251) = 120678792 / 1

LCM(897,536,251) = 120678792


Lets's calculate GCF of 981,892,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120678792/1

Therefore the LCM of Fractions 897/981,536/892,251/514 is 120678792

Greatest Common Factor of 981,892,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,892,514 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 981,892,514 . The biggest common factor number is the GCF number.
So the greatest common factor 981,892,514 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 897/981, 536/892, 251/514

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 897/981, 536/892, 251/514?

Answer: LCM of Numerators as per given numbers 897/981, 536/892, 251/514 is

LCM of Numerators i.e. for 897,536,251 is 120678792

GCF of denominators i.e. for 981,892,514 is 1.

Thus, LCM of Fractions is 120678792.Finally, LCM of Fractions for 897/981, 536/892, 251/514 is 120678792.