Least Common Multiple of 76/632, 27/633, 453/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/632, 27/633, 453/978 quickly i.e. 309852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/632, 27/633, 453/978 is 309852.

LCM(76/632, 27/633, 453/978) = 309852

LCM of 76/632, 27/633, 453/978

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 76/632,27/633,453/978

Given numbers are 76/632,27/633,453/978

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 76,27,453

Least Common Multiple of Numerators i.e. LCM of 76,27,453 is 309852.

GCF of Denominators means GCF of 632,633,978 as per the given fractions.

GCF of 632,633,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,27,453

LCM of Fractions 76/632,27/633,453/978 is 309852

3 76, 27, 453
76, 9, 151

∴ So the LCM of the given numbers is 3 x 76 x 9 x 151 = 309852

Least Common Multiple of 76,27,453 with GCF Formula

Least Common Multiple of 76,27,453 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 76,27,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,27,453) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(76,27,453) x common factors =1 x 3 = 3

LCM(76,27,453) = ( 76 × 27 × 453 ) / 3

LCM(76,27,453) = 929556 / 3

LCM(76,27,453) = 309852


Lets's calculate GCF of 632,633,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309852/1

Therefore the LCM of Fractions 76/632,27/633,453/978 is 309852

Greatest Common Factor of 632,633,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,633,978 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 632,633,978 . The biggest common factor number is the GCF number.
So the greatest common factor 632,633,978 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 76/632, 27/633, 453/978

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 76/632, 27/633, 453/978?

Answer: LCM of Numerators as per given numbers 76/632, 27/633, 453/978 is

LCM of Numerators i.e. for 76,27,453 is 309852

GCF of denominators i.e. for 632,633,978 is 1.

Thus, LCM of Fractions is 309852.Finally, LCM of Fractions for 76/632, 27/633, 453/978 is 309852.