Least Common Multiple of 24/860, 194/885, 780/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/860, 194/885, 780/851 quickly i.e. 151320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/860, 194/885, 780/851 is 151320.

LCM(24/860, 194/885, 780/851) = 151320

LCM of 24/860, 194/885, 780/851

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 24/860,194/885,780/851

Given numbers are 24/860,194/885,780/851

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 24,194,780

Least Common Multiple of Numerators i.e. LCM of 24,194,780 is 151320.

GCF of Denominators means GCF of 860,885,851 as per the given fractions.

GCF of 860,885,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,194,780

LCM of Fractions 24/860,194/885,780/851 is 151320

2 24, 194, 780
2 12, 97, 390
3 6, 97, 195
2, 97, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 97 x 65 = 151320

Least Common Multiple of 24,194,780 with GCF Formula

Least Common Multiple of 24,194,780 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 24,194,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,194,780) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(24,194,780) x common factors =2 x 12 = 24

LCM(24,194,780) = ( 24 × 194 × 780 ) / 24

LCM(24,194,780) = 3631680 / 24

LCM(24,194,780) = 151320


Lets's calculate GCF of 860,885,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151320/1

Therefore the LCM of Fractions 24/860,194/885,780/851 is 151320

Greatest Common Factor of 860,885,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,885,851 By Matching Biggest Common Factor Method

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

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 860,885,851 . The biggest common factor number is the GCF number.
So the greatest common factor 860,885,851 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 24/860, 194/885, 780/851

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 24/860, 194/885, 780/851?

Answer: LCM of Numerators as per given numbers 24/860, 194/885, 780/851 is

LCM of Numerators i.e. for 24,194,780 is 151320

GCF of denominators i.e. for 860,885,851 is 1.

Thus, LCM of Fractions is 151320.Finally, LCM of Fractions for 24/860, 194/885, 780/851 is 151320.