Least Common Multiple of 85/75, 276/35, 885/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/75, 276/35, 885/941 quickly i.e. 1384140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/75, 276/35, 885/941 is 1384140.

LCM(85/75, 276/35, 885/941) = 1384140

LCM of 85/75, 276/35, 885/941

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 85/75,276/35,885/941

Given numbers are 85/75,276/35,885/941

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 85,276,885

Least Common Multiple of Numerators i.e. LCM of 85,276,885 is 1384140.

GCF of Denominators means GCF of 75,35,941 as per the given fractions.

GCF of 75,35,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,276,885

LCM of Fractions 85/75,276/35,885/941 is 1384140

3 85, 276, 885
5 85, 92, 295
17, 92, 59

∴ So the LCM of the given numbers is 3 x 5 x 17 x 92 x 59 = 1384140

Least Common Multiple of 85,276,885 with GCF Formula

Least Common Multiple of 85,276,885 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 85,276,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,276,885) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(85,276,885) x common factors =1 x 15 = 15

LCM(85,276,885) = ( 85 × 276 × 885 ) / 15

LCM(85,276,885) = 20762100 / 15

LCM(85,276,885) = 1384140


Lets's calculate GCF of 75,35,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1384140/1

Therefore the LCM of Fractions 85/75,276/35,885/941 is 1384140

Greatest Common Factor of 75,35,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,35,941 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 75,35,941 . The biggest common factor number is the GCF number.
So the greatest common factor 75,35,941 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 85/75, 276/35, 885/941

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 85/75, 276/35, 885/941?

Answer: LCM of Numerators as per given numbers 85/75, 276/35, 885/941 is

LCM of Numerators i.e. for 85,276,885 is 1384140

GCF of denominators i.e. for 75,35,941 is 1.

Thus, LCM of Fractions is 1384140.Finally, LCM of Fractions for 85/75, 276/35, 885/941 is 1384140.