Least Common Multiple of 787/93, 642/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 787/93, 642/961 quickly i.e. 505254/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/93, 642/961 is 505254/31.

LCM(787/93, 642/961) = 505254/31

LCM of 787/93, 642/961

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 787/93,642/961

Given numbers are 787/93,642/961

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 787,642

Least Common Multiple of Numerators i.e. LCM of 787,642 is 505254.

GCF of Denominators means GCF of 93,961 as per the given fractions.

GCF of 93,961 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,642

LCM of Fractions 787/93,642/961 is 505254/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 505254

Least Common Multiple of 787,642 with GCF Formula

Least Common Multiple of 787,642 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 787,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,642) = 1

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

GCF(787,642) x common factors =1 x 1 = 1

LCM(787,642) = ( 787 × 642 ) / 1

LCM(787,642) = 505254 / 1

LCM(787,642) = 505254


Lets's calculate GCF of 93,961

31 93, 961
3, 31

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505254/31

Therefore the LCM of Fractions 787/93,642/961 is 505254/31

Greatest Common Factor of 93,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,961 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 93,961 . The biggest common factor number is the GCF number.
So the greatest common factor 93,961 is 31.


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 787/93, 642/961

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 787/93, 642/961?

Answer: LCM of Numerators as per given numbers 787/93, 642/961 is

LCM of Numerators i.e. for 787,642 is 505254

GCF of denominators i.e. for 93,961 is 31.

Thus, LCM of Fractions is 505254/31.Finally, LCM of Fractions for 787/93, 642/961 is 505254/31.