Least Common Multiple of 78/62, 90/87, 77/30, 44/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/62, 90/87, 77/30, 44/953 quickly i.e. 180180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/62, 90/87, 77/30, 44/953 is 180180.

LCM(78/62, 90/87, 77/30, 44/953) = 180180

LCM of 78/62, 90/87, 77/30, 44/953

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 78/62,90/87,77/30,44/953

Given numbers are 78/62,90/87,77/30,44/953

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 78,90,77,44

Least Common Multiple of Numerators i.e. LCM of 78,90,77,44 is 180180.

GCF of Denominators means GCF of 62,87,30,953 as per the given fractions.

GCF of 62,87,30,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,90,77,44

LCM of Fractions 78/62,90/87,77/30,44/953 is 180180

2 78, 90, 77, 44
3 39, 45, 77, 22
11 13, 15, 77, 22
13, 15, 7, 2

∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 15 x 7 x 2 = 180180

Least Common Multiple of 78,90,77,44 with GCF Formula

Least Common Multiple of 78,90,77,44 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 78,90,77,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,90,77,44) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(78,90,77,44) x common factors =1 x 132 = 132

LCM(78,90,77,44) = ( 78 × 90 × 77 × 44 ) / 132

LCM(78,90,77,44) = 23783760 / 132

LCM(78,90,77,44) = 180180


Lets's calculate GCF of 62,87,30,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180180/1

Therefore the LCM of Fractions 78/62,90/87,77/30,44/953 is 180180

Greatest Common Factor of 62,87,30,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,87,30,953 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 87

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

1,3,29,87

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 62,87,30,953 . The biggest common factor number is the GCF number.
So the greatest common factor 62,87,30,953 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 78/62, 90/87, 77/30, 44/953

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 78/62, 90/87, 77/30, 44/953?

Answer: LCM of Numerators as per given numbers 78/62, 90/87, 77/30, 44/953 is

LCM of Numerators i.e. for 78,90,77,44 is 180180

GCF of denominators i.e. for 62,87,30,953 is 1.

Thus, LCM of Fractions is 180180.Finally, LCM of Fractions for 78/62, 90/87, 77/30, 44/953 is 180180.