Least Common Multiple of 97/70, 90/94, 10/86, 81/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/70, 90/94, 10/86, 81/247 quickly i.e. 78570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/70, 90/94, 10/86, 81/247 is 78570.

LCM(97/70, 90/94, 10/86, 81/247) = 78570

LCM of 97/70, 90/94, 10/86, 81/247

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 97/70,90/94,10/86,81/247

Given numbers are 97/70,90/94,10/86,81/247

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 97,90,10,81

Least Common Multiple of Numerators i.e. LCM of 97,90,10,81 is 78570.

GCF of Denominators means GCF of 70,94,86,247 as per the given fractions.

GCF of 70,94,86,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,90,10,81

LCM of Fractions 97/70,90/94,10/86,81/247 is 78570

2 97, 90, 10, 81
3 97, 45, 5, 81
3 97, 15, 5, 27
5 97, 5, 5, 9
97, 1, 1, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 97 x 1 x 1 x 9 = 78570

Least Common Multiple of 97,90,10,81 with GCF Formula

Least Common Multiple of 97,90,10,81 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 97,90,10,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,90,10,81) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(97,90,10,81) x common factors =1 x 90 = 90

LCM(97,90,10,81) = ( 97 × 90 × 10 × 81 ) / 90

LCM(97,90,10,81) = 7071300 / 90

LCM(97,90,10,81) = 78570


Lets's calculate GCF of 70,94,86,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78570/1

Therefore the LCM of Fractions 97/70,90/94,10/86,81/247 is 78570

Greatest Common Factor of 70,94,86,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,94,86,247 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 70,94,86,247 . The biggest common factor number is the GCF number.
So the greatest common factor 70,94,86,247 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 97/70, 90/94, 10/86, 81/247

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 97/70, 90/94, 10/86, 81/247?

Answer: LCM of Numerators as per given numbers 97/70, 90/94, 10/86, 81/247 is

LCM of Numerators i.e. for 97,90,10,81 is 78570

GCF of denominators i.e. for 70,94,86,247 is 1.

Thus, LCM of Fractions is 78570.Finally, LCM of Fractions for 97/70, 90/94, 10/86, 81/247 is 78570.