Least Common Multiple of 374/36, 275/58, 876/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/36, 275/58, 876/715 quickly i.e. 4095300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/36, 275/58, 876/715 is 4095300.

LCM(374/36, 275/58, 876/715) = 4095300

LCM of 374/36, 275/58, 876/715

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 374/36,275/58,876/715

Given numbers are 374/36,275/58,876/715

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 374,275,876

Least Common Multiple of Numerators i.e. LCM of 374,275,876 is 4095300.

GCF of Denominators means GCF of 36,58,715 as per the given fractions.

GCF of 36,58,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,275,876

LCM of Fractions 374/36,275/58,876/715 is 4095300

2 374, 275, 876
11 187, 275, 438
17, 25, 438

∴ So the LCM of the given numbers is 2 x 11 x 17 x 25 x 438 = 4095300

Least Common Multiple of 374,275,876 with GCF Formula

Least Common Multiple of 374,275,876 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 374,275,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,275,876) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(374,275,876) x common factors =1 x 22 = 22

LCM(374,275,876) = ( 374 × 275 × 876 ) / 22

LCM(374,275,876) = 90096600 / 22

LCM(374,275,876) = 4095300


Lets's calculate GCF of 36,58,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4095300/1

Therefore the LCM of Fractions 374/36,275/58,876/715 is 4095300

Greatest Common Factor of 36,58,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,58,715 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 36,58,715 . The biggest common factor number is the GCF number.
So the greatest common factor 36,58,715 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 374/36, 275/58, 876/715

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 374/36, 275/58, 876/715?

Answer: LCM of Numerators as per given numbers 374/36, 275/58, 876/715 is

LCM of Numerators i.e. for 374,275,876 is 4095300

GCF of denominators i.e. for 36,58,715 is 1.

Thus, LCM of Fractions is 4095300.Finally, LCM of Fractions for 374/36, 275/58, 876/715 is 4095300.