Least Common Multiple of 38/50, 35/94, 66/76, 41/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/50, 35/94, 66/76, 41/860 quickly i.e. 899745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/50, 35/94, 66/76, 41/860 is 899745.

LCM(38/50, 35/94, 66/76, 41/860) = 899745

LCM of 38/50, 35/94, 66/76, 41/860

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 38/50,35/94,66/76,41/860

Given numbers are 38/50,35/94,66/76,41/860

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 38,35,66,41

Least Common Multiple of Numerators i.e. LCM of 38,35,66,41 is 1799490.

GCF of Denominators means GCF of 50,94,76,860 as per the given fractions.

GCF of 50,94,76,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,35,66,41

LCM of Fractions 38/50,35/94,66/76,41/860 is 899745

2 38, 35, 66, 41
19, 35, 33, 41

∴ So the LCM of the given numbers is 2 x 19 x 35 x 33 x 41 = 1799490

Least Common Multiple of 38,35,66,41 with GCF Formula

Least Common Multiple of 38,35,66,41 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 38,35,66,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,35,66,41) = 1

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

GCF(38,35,66,41) x common factors =1 x 2 = 2

LCM(38,35,66,41) = ( 38 × 35 × 66 × 41 ) / 2

LCM(38,35,66,41) = 3598980 / 2

LCM(38,35,66,41) = 1799490


Lets's calculate GCF of 50,94,76,860

2 50, 94, 76, 860
25, 47, 38, 430

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1799490/2

Therefore the LCM of Fractions 38/50,35/94,66/76,41/860 is 899745

Greatest Common Factor of 50,94,76,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,94,76,860 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 50,94,76,860 . The biggest common factor number is the GCF number.
So the greatest common factor 50,94,76,860 is 2.


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 38/50, 35/94, 66/76, 41/860

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 38/50, 35/94, 66/76, 41/860?

Answer: LCM of Numerators as per given numbers 38/50, 35/94, 66/76, 41/860 is

LCM of Numerators i.e. for 38,35,66,41 is 1799490

GCF of denominators i.e. for 50,94,76,860 is 2.

Thus, LCM of Fractions is 899745.Finally, LCM of Fractions for 38/50, 35/94, 66/76, 41/860 is 899745.