Least Common Multiple of 890/76, 147/53, 576/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 890/76, 147/53, 576/708 quickly i.e. 12559680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/76, 147/53, 576/708 is 12559680.

LCM(890/76, 147/53, 576/708) = 12559680

LCM of 890/76, 147/53, 576/708

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 890/76,147/53,576/708

Given numbers are 890/76,147/53,576/708

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 890,147,576

Least Common Multiple of Numerators i.e. LCM of 890,147,576 is 12559680.

GCF of Denominators means GCF of 76,53,708 as per the given fractions.

GCF of 76,53,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,147,576

LCM of Fractions 890/76,147/53,576/708 is 12559680

2 890, 147, 576
3 445, 147, 288
445, 49, 96

∴ So the LCM of the given numbers is 2 x 3 x 445 x 49 x 96 = 12559680

Least Common Multiple of 890,147,576 with GCF Formula

Least Common Multiple of 890,147,576 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 890,147,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,147,576) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(890,147,576) x common factors =1 x 6 = 6

LCM(890,147,576) = ( 890 × 147 × 576 ) / 6

LCM(890,147,576) = 75358080 / 6

LCM(890,147,576) = 12559680


Lets's calculate GCF of 76,53,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12559680/1

Therefore the LCM of Fractions 890/76,147/53,576/708 is 12559680

Greatest Common Factor of 76,53,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,53,708 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 76,53,708 . The biggest common factor number is the GCF number.
So the greatest common factor 76,53,708 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 890/76, 147/53, 576/708

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 890/76, 147/53, 576/708?

Answer: LCM of Numerators as per given numbers 890/76, 147/53, 576/708 is

LCM of Numerators i.e. for 890,147,576 is 12559680

GCF of denominators i.e. for 76,53,708 is 1.

Thus, LCM of Fractions is 12559680.Finally, LCM of Fractions for 890/76, 147/53, 576/708 is 12559680.