Least Common Multiple of 9374/232, 3601/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9374/232, 3601/986 quickly i.e. 33755774/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9374/232, 3601/986 is 33755774/58.

LCM(9374/232, 3601/986) = 33755774/58

LCM of 9374/232, 3601/986

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 9374/232,3601/986

Given numbers are 9374/232,3601/986

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 9374,3601

Least Common Multiple of Numerators i.e. LCM of 9374,3601 is 33755774.

GCF of Denominators means GCF of 232,986 as per the given fractions.

GCF of 232,986 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9374,3601

LCM of Fractions 9374/232,3601/986 is 33755774/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 33755774

Least Common Multiple of 9374,3601 with GCF Formula

Least Common Multiple of 9374,3601 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 9374,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9374,3601) = 1

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

GCF(9374,3601) x common factors =1 x 1 = 1

LCM(9374,3601) = ( 9374 × 3601 ) / 1

LCM(9374,3601) = 33755774 / 1

LCM(9374,3601) = 33755774


Lets's calculate GCF of 232,986

2 232, 986
29 116, 493
4, 17

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33755774/58

Therefore the LCM of Fractions 9374/232,3601/986 is 33755774/58

Greatest Common Factor of 232,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,986 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 232,986 . The biggest common factor number is the GCF number.
So the greatest common factor 232,986 is 58.


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 9374/232, 3601/986

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 9374/232, 3601/986?

Answer: LCM of Numerators as per given numbers 9374/232, 3601/986 is

LCM of Numerators i.e. for 9374,3601 is 33755774

GCF of denominators i.e. for 232,986 is 58.

Thus, LCM of Fractions is 33755774/58.Finally, LCM of Fractions for 9374/232, 3601/986 is 33755774/58.