Least Common Multiple of 862/87, 449/20, 304/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/87, 449/20, 304/755 quickly i.e. 58829776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/87, 449/20, 304/755 is 58829776.

LCM(862/87, 449/20, 304/755) = 58829776

LCM of 862/87, 449/20, 304/755

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 862/87,449/20,304/755

Given numbers are 862/87,449/20,304/755

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 862,449,304

Least Common Multiple of Numerators i.e. LCM of 862,449,304 is 58829776.

GCF of Denominators means GCF of 87,20,755 as per the given fractions.

GCF of 87,20,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,449,304

LCM of Fractions 862/87,449/20,304/755 is 58829776

2 862, 449, 304
431, 449, 152

∴ So the LCM of the given numbers is 2 x 431 x 449 x 152 = 58829776

Least Common Multiple of 862,449,304 with GCF Formula

Least Common Multiple of 862,449,304 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 862,449,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,449,304) = 1

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

GCF(862,449,304) x common factors =1 x 2 = 2

LCM(862,449,304) = ( 862 × 449 × 304 ) / 2

LCM(862,449,304) = 117659552 / 2

LCM(862,449,304) = 58829776


Lets's calculate GCF of 87,20,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58829776/1

Therefore the LCM of Fractions 862/87,449/20,304/755 is 58829776

Greatest Common Factor of 87,20,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,20,755 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 87,20,755 . The biggest common factor number is the GCF number.
So the greatest common factor 87,20,755 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 862/87, 449/20, 304/755

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 862/87, 449/20, 304/755?

Answer: LCM of Numerators as per given numbers 862/87, 449/20, 304/755 is

LCM of Numerators i.e. for 862,449,304 is 58829776

GCF of denominators i.e. for 87,20,755 is 1.

Thus, LCM of Fractions is 58829776.Finally, LCM of Fractions for 862/87, 449/20, 304/755 is 58829776.