Least Common Multiple of 76/90, 14/51, 46/19, 78/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/90, 14/51, 46/19, 78/225 quickly i.e. 477204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/90, 14/51, 46/19, 78/225 is 477204.

LCM(76/90, 14/51, 46/19, 78/225) = 477204

LCM of 76/90, 14/51, 46/19, 78/225

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 76/90,14/51,46/19,78/225

Given numbers are 76/90,14/51,46/19,78/225

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 76,14,46,78

Least Common Multiple of Numerators i.e. LCM of 76,14,46,78 is 477204.

GCF of Denominators means GCF of 90,51,19,225 as per the given fractions.

GCF of 90,51,19,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,14,46,78

LCM of Fractions 76/90,14/51,46/19,78/225 is 477204

2 76, 14, 46, 78
38, 7, 23, 39

∴ So the LCM of the given numbers is 2 x 38 x 7 x 23 x 39 = 477204

Least Common Multiple of 76,14,46,78 with GCF Formula

Least Common Multiple of 76,14,46,78 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 76,14,46,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,14,46,78) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,14,46,78) x common factors =2 x 4 = 8

LCM(76,14,46,78) = ( 76 × 14 × 46 × 78 ) / 8

LCM(76,14,46,78) = 3817632 / 8

LCM(76,14,46,78) = 477204


Lets's calculate GCF of 90,51,19,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477204/1

Therefore the LCM of Fractions 76/90,14/51,46/19,78/225 is 477204

Greatest Common Factor of 90,51,19,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,51,19,225 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 90,51,19,225 . The biggest common factor number is the GCF number.
So the greatest common factor 90,51,19,225 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 76/90, 14/51, 46/19, 78/225

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 76/90, 14/51, 46/19, 78/225?

Answer: LCM of Numerators as per given numbers 76/90, 14/51, 46/19, 78/225 is

LCM of Numerators i.e. for 76,14,46,78 is 477204

GCF of denominators i.e. for 90,51,19,225 is 1.

Thus, LCM of Fractions is 477204.Finally, LCM of Fractions for 76/90, 14/51, 46/19, 78/225 is 477204.