Least Common Multiple of 860/72, 985/94, 236/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 860/72, 985/94, 236/749 quickly i.e. 9995780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/72, 985/94, 236/749 is 9995780.

LCM(860/72, 985/94, 236/749) = 9995780

LCM of 860/72, 985/94, 236/749

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 860/72,985/94,236/749

Given numbers are 860/72,985/94,236/749

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 860,985,236

Least Common Multiple of Numerators i.e. LCM of 860,985,236 is 9995780.

GCF of Denominators means GCF of 72,94,749 as per the given fractions.

GCF of 72,94,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,985,236

LCM of Fractions 860/72,985/94,236/749 is 9995780

2 860, 985, 236
2 430, 985, 118
5 215, 985, 59
43, 197, 59

∴ So the LCM of the given numbers is 2 x 2 x 5 x 43 x 197 x 59 = 9995780

Least Common Multiple of 860,985,236 with GCF Formula

Least Common Multiple of 860,985,236 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 860,985,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,985,236) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(860,985,236) x common factors =1 x 20 = 20

LCM(860,985,236) = ( 860 × 985 × 236 ) / 20

LCM(860,985,236) = 199915600 / 20

LCM(860,985,236) = 9995780


Lets's calculate GCF of 72,94,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9995780/1

Therefore the LCM of Fractions 860/72,985/94,236/749 is 9995780

Greatest Common Factor of 72,94,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,94,749 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 94

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

1,2,47,94

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 72,94,749 . The biggest common factor number is the GCF number.
So the greatest common factor 72,94,749 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 860/72, 985/94, 236/749

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 860/72, 985/94, 236/749?

Answer: LCM of Numerators as per given numbers 860/72, 985/94, 236/749 is

LCM of Numerators i.e. for 860,985,236 is 9995780

GCF of denominators i.e. for 72,94,749 is 1.

Thus, LCM of Fractions is 9995780.Finally, LCM of Fractions for 860/72, 985/94, 236/749 is 9995780.