Least Common Multiple of 972/898, 7072/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/898, 7072/714 quickly i.e. 859248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/898, 7072/714 is 859248.

LCM(972/898, 7072/714) = 859248

LCM of 972/898, 7072/714

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 972/898,7072/714

Given numbers are 972/898,7072/714

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 972,7072

Least Common Multiple of Numerators i.e. LCM of 972,7072 is 1718496.

GCF of Denominators means GCF of 898,714 as per the given fractions.

GCF of 898,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,7072

LCM of Fractions 972/898,7072/714 is 859248

2 972, 7072
2 486, 3536
243, 1768

∴ So the LCM of the given numbers is 2 x 2 x 243 x 1768 = 1718496

Least Common Multiple of 972,7072 with GCF Formula

Least Common Multiple of 972,7072 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 972,7072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,7072) = 4

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

GCF(972,7072) x common factors =4 x 1 = 4

LCM(972,7072) = ( 972 × 7072 ) / 4

LCM(972,7072) = 6873984 / 4

LCM(972,7072) = 1718496


Lets's calculate GCF of 898,714

2 898, 714
449, 357

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1718496/2

Therefore the LCM of Fractions 972/898,7072/714 is 859248

Greatest Common Factor of 898,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,714 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 898,714 . The biggest common factor number is the GCF number.
So the greatest common factor 898,714 is 2.


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 972/898, 7072/714

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 972/898, 7072/714?

Answer: LCM of Numerators as per given numbers 972/898, 7072/714 is

LCM of Numerators i.e. for 972,7072 is 1718496

GCF of denominators i.e. for 898,714 is 2.

Thus, LCM of Fractions is 859248.Finally, LCM of Fractions for 972/898, 7072/714 is 859248.