Least Common Multiple of 4/374, 77/792, 74/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/374, 77/792, 74/115 quickly i.e. 11396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/374, 77/792, 74/115 is 11396.

LCM(4/374, 77/792, 74/115) = 11396

LCM of 4/374, 77/792, 74/115

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 4/374,77/792,74/115

Given numbers are 4/374,77/792,74/115

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 4,77,74

Least Common Multiple of Numerators i.e. LCM of 4,77,74 is 11396.

GCF of Denominators means GCF of 374,792,115 as per the given fractions.

GCF of 374,792,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,77,74

LCM of Fractions 4/374,77/792,74/115 is 11396

2 4, 77, 74
2, 77, 37

∴ So the LCM of the given numbers is 2 x 2 x 77 x 37 = 11396

Least Common Multiple of 4,77,74 with GCF Formula

Least Common Multiple of 4,77,74 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 4,77,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,77,74) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(4,77,74) x common factors =1 x 2 = 2

LCM(4,77,74) = ( 4 × 77 × 74 ) / 2

LCM(4,77,74) = 22792 / 2

LCM(4,77,74) = 11396


Lets's calculate GCF of 374,792,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11396/1

Therefore the LCM of Fractions 4/374,77/792,74/115 is 11396

Greatest Common Factor of 374,792,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,792,115 By Matching Biggest Common Factor Method

Factors of 374

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

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

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 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 374,792,115 . The biggest common factor number is the GCF number.
So the greatest common factor 374,792,115 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4/374, 77/792, 74/115

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 4/374, 77/792, 74/115?

Answer: LCM of Numerators as per given numbers 4/374, 77/792, 74/115 is

LCM of Numerators i.e. for 4,77,74 is 11396

GCF of denominators i.e. for 374,792,115 is 1.

Thus, LCM of Fractions is 11396.Finally, LCM of Fractions for 4/374, 77/792, 74/115 is 11396.