Least Common Multiple of 92/792, 45/491, 731/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/792, 45/491, 731/374 quickly i.e. 3026340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/792, 45/491, 731/374 is 3026340.

LCM(92/792, 45/491, 731/374) = 3026340

LCM of 92/792, 45/491, 731/374

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 92/792,45/491,731/374

Given numbers are 92/792,45/491,731/374

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 92,45,731

Least Common Multiple of Numerators i.e. LCM of 92,45,731 is 3026340.

GCF of Denominators means GCF of 792,491,374 as per the given fractions.

GCF of 792,491,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,45,731

LCM of Fractions 92/792,45/491,731/374 is 3026340

Given numbers has no common factors except 1. So, there LCM is their product i.e 3026340

Least Common Multiple of 92,45,731 with GCF Formula

Least Common Multiple of 92,45,731 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 92,45,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,45,731) = 1

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

GCF(92,45,731) x common factors =1 x 1 = 1

LCM(92,45,731) = ( 92 × 45 × 731 ) / 1

LCM(92,45,731) = 3026340 / 1

LCM(92,45,731) = 3026340


Lets's calculate GCF of 792,491,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3026340/1

Therefore the LCM of Fractions 92/792,45/491,731/374 is 3026340

Greatest Common Factor of 792,491,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,491,374 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

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 792,491,374 . The biggest common factor number is the GCF number.
So the greatest common factor 792,491,374 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/792, 45/491, 731/374

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 92/792, 45/491, 731/374?

Answer: LCM of Numerators as per given numbers 92/792, 45/491, 731/374 is

LCM of Numerators i.e. for 92,45,731 is 3026340

GCF of denominators i.e. for 792,491,374 is 1.

Thus, LCM of Fractions is 3026340.Finally, LCM of Fractions for 92/792, 45/491, 731/374 is 3026340.