Least Common Multiple of 358/891, 2313/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 358/891, 2313/374 quickly i.e. 828054/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/891, 2313/374 is 828054/11.

LCM(358/891, 2313/374) = 828054/11

LCM of 358/891, 2313/374

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 358/891,2313/374

Given numbers are 358/891,2313/374

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 358,2313

Least Common Multiple of Numerators i.e. LCM of 358,2313 is 828054.

GCF of Denominators means GCF of 891,374 as per the given fractions.

GCF of 891,374 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,2313

LCM of Fractions 358/891,2313/374 is 828054/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 828054

Least Common Multiple of 358,2313 with GCF Formula

Least Common Multiple of 358,2313 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 358,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,2313) = 1

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

GCF(358,2313) x common factors =1 x 1 = 1

LCM(358,2313) = ( 358 × 2313 ) / 1

LCM(358,2313) = 828054 / 1

LCM(358,2313) = 828054


Lets's calculate GCF of 891,374

11 891, 374
81, 34

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828054/11

Therefore the LCM of Fractions 358/891,2313/374 is 828054/11

Greatest Common Factor of 891,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,374 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 891,374 . The biggest common factor number is the GCF number.
So the greatest common factor 891,374 is 11.


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Frequently Asked Questions on Fractional LCM of 358/891, 2313/374

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 358/891, 2313/374?

Answer: LCM of Numerators as per given numbers 358/891, 2313/374 is

LCM of Numerators i.e. for 358,2313 is 828054

GCF of denominators i.e. for 891,374 is 11.

Thus, LCM of Fractions is 828054/11.Finally, LCM of Fractions for 358/891, 2313/374 is 828054/11.