Least Common Multiple of 97/86, 68/40, 42/43, 74/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/86, 68/40, 42/43, 74/861 quickly i.e. 5125092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/86, 68/40, 42/43, 74/861 is 5125092.

LCM(97/86, 68/40, 42/43, 74/861) = 5125092

LCM of 97/86, 68/40, 42/43, 74/861

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 97/86,68/40,42/43,74/861

Given numbers are 97/86,68/40,42/43,74/861

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 97,68,42,74

Least Common Multiple of Numerators i.e. LCM of 97,68,42,74 is 5125092.

GCF of Denominators means GCF of 86,40,43,861 as per the given fractions.

GCF of 86,40,43,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,68,42,74

LCM of Fractions 97/86,68/40,42/43,74/861 is 5125092

2 97, 68, 42, 74
97, 34, 21, 37

∴ So the LCM of the given numbers is 2 x 97 x 34 x 21 x 37 = 5125092

Least Common Multiple of 97,68,42,74 with GCF Formula

Least Common Multiple of 97,68,42,74 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 97,68,42,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,68,42,74) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(97,68,42,74) x common factors =1 x 4 = 4

LCM(97,68,42,74) = ( 97 × 68 × 42 × 74 ) / 4

LCM(97,68,42,74) = 20500368 / 4

LCM(97,68,42,74) = 5125092


Lets's calculate GCF of 86,40,43,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5125092/1

Therefore the LCM of Fractions 97/86,68/40,42/43,74/861 is 5125092

Greatest Common Factor of 86,40,43,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,40,43,861 By Matching Biggest Common Factor Method

Factors of 86

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

1,2,43,86

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 86,40,43,861 . The biggest common factor number is the GCF number.
So the greatest common factor 86,40,43,861 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 97/86, 68/40, 42/43, 74/861

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 97/86, 68/40, 42/43, 74/861?

Answer: LCM of Numerators as per given numbers 97/86, 68/40, 42/43, 74/861 is

LCM of Numerators i.e. for 97,68,42,74 is 5125092

GCF of denominators i.e. for 86,40,43,861 is 1.

Thus, LCM of Fractions is 5125092.Finally, LCM of Fractions for 97/86, 68/40, 42/43, 74/861 is 5125092.