Least Common Multiple of 81/970, 653/784, 803/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/970, 653/784, 803/870 quickly i.e. 42473079/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/970, 653/784, 803/870 is 42473079/2.

LCM(81/970, 653/784, 803/870) = 42473079/2

LCM of 81/970, 653/784, 803/870

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 81/970,653/784,803/870

Given numbers are 81/970,653/784,803/870

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 81,653,803

Least Common Multiple of Numerators i.e. LCM of 81,653,803 is 42473079.

GCF of Denominators means GCF of 970,784,870 as per the given fractions.

GCF of 970,784,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,653,803

LCM of Fractions 81/970,653/784,803/870 is 42473079/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 42473079

Least Common Multiple of 81,653,803 with GCF Formula

Least Common Multiple of 81,653,803 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 81,653,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,653,803) = 1

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

GCF(81,653,803) x common factors =1 x 1 = 1

LCM(81,653,803) = ( 81 × 653 × 803 ) / 1

LCM(81,653,803) = 42473079 / 1

LCM(81,653,803) = 42473079


Lets's calculate GCF of 970,784,870

2 970, 784, 870
485, 392, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42473079/2

Therefore the LCM of Fractions 81/970,653/784,803/870 is 42473079/2

Greatest Common Factor of 970,784,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,784,870 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 970,784,870 . The biggest common factor number is the GCF number.
So the greatest common factor 970,784,870 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 81/970, 653/784, 803/870

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 81/970, 653/784, 803/870?

Answer: LCM of Numerators as per given numbers 81/970, 653/784, 803/870 is

LCM of Numerators i.e. for 81,653,803 is 42473079

GCF of denominators i.e. for 970,784,870 is 2.

Thus, LCM of Fractions is 42473079/2.Finally, LCM of Fractions for 81/970, 653/784, 803/870 is 42473079/2.