Least Common Multiple of 961/290, 1377/9434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 961/290, 1377/9434 quickly i.e. 1323297/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/290, 1377/9434 is 1323297/2.

LCM(961/290, 1377/9434) = 1323297/2

LCM of 961/290, 1377/9434

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 961/290,1377/9434

Given numbers are 961/290,1377/9434

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 961,1377

Least Common Multiple of Numerators i.e. LCM of 961,1377 is 1323297.

GCF of Denominators means GCF of 290,9434 as per the given fractions.

GCF of 290,9434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,1377

LCM of Fractions 961/290,1377/9434 is 1323297/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1323297

Least Common Multiple of 961,1377 with GCF Formula

Least Common Multiple of 961,1377 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 961,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,1377) = 1

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

GCF(961,1377) x common factors =1 x 1 = 1

LCM(961,1377) = ( 961 × 1377 ) / 1

LCM(961,1377) = 1323297 / 1

LCM(961,1377) = 1323297


Lets's calculate GCF of 290,9434

2 290, 9434
145, 4717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1323297/2

Therefore the LCM of Fractions 961/290,1377/9434 is 1323297/2

Greatest Common Factor of 290,9434 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,9434 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1,2,53,89,106,178,4717,9434

Greatest Common Factor

We found the factors 290,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 290,9434 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 961/290, 1377/9434

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 961/290, 1377/9434?

Answer: LCM of Numerators as per given numbers 961/290, 1377/9434 is

LCM of Numerators i.e. for 961,1377 is 1323297

GCF of denominators i.e. for 290,9434 is 2.

Thus, LCM of Fractions is 1323297/2.Finally, LCM of Fractions for 961/290, 1377/9434 is 1323297/2.