Least Common Multiple of 374/29, 436/83, 976/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/29, 436/83, 976/39 quickly i.e. 19893808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/29, 436/83, 976/39 is 19893808.

LCM(374/29, 436/83, 976/39) = 19893808

LCM of 374/29, 436/83, 976/39

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 374/29,436/83,976/39

Given numbers are 374/29,436/83,976/39

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 374,436,976

Least Common Multiple of Numerators i.e. LCM of 374,436,976 is 19893808.

GCF of Denominators means GCF of 29,83,39 as per the given fractions.

GCF of 29,83,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,436,976

LCM of Fractions 374/29,436/83,976/39 is 19893808

2 374, 436, 976
2 187, 218, 488
187, 109, 244

∴ So the LCM of the given numbers is 2 x 2 x 187 x 109 x 244 = 19893808

Least Common Multiple of 374,436,976 with GCF Formula

Least Common Multiple of 374,436,976 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 374,436,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,436,976) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(374,436,976) x common factors =2 x 4 = 8

LCM(374,436,976) = ( 374 × 436 × 976 ) / 8

LCM(374,436,976) = 159150464 / 8

LCM(374,436,976) = 19893808


Lets's calculate GCF of 29,83,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19893808/1

Therefore the LCM of Fractions 374/29,436/83,976/39 is 19893808

Greatest Common Factor of 29,83,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,83,39 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 29,83,39 . The biggest common factor number is the GCF number.
So the greatest common factor 29,83,39 is 1.


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 374/29, 436/83, 976/39

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 374/29, 436/83, 976/39?

Answer: LCM of Numerators as per given numbers 374/29, 436/83, 976/39 is

LCM of Numerators i.e. for 374,436,976 is 19893808

GCF of denominators i.e. for 29,83,39 is 1.

Thus, LCM of Fractions is 19893808.Finally, LCM of Fractions for 374/29, 436/83, 976/39 is 19893808.