Least Common Multiple of 8/90, 15/660, 76/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/90, 15/660, 76/750 quickly i.e. 76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/90, 15/660, 76/750 is 76.

LCM(8/90, 15/660, 76/750) = 76

LCM of 8/90, 15/660, 76/750

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 8/90,15/660,76/750

Given numbers are 8/90,15/660,76/750

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 8,15,76

Least Common Multiple of Numerators i.e. LCM of 8,15,76 is 2280.

GCF of Denominators means GCF of 90,660,750 as per the given fractions.

GCF of 90,660,750 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,15,76

LCM of Fractions 8/90,15/660,76/750 is 76

2 8, 15, 76
2 4, 15, 38
2, 15, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 19 = 2280

Least Common Multiple of 8,15,76 with GCF Formula

Least Common Multiple of 8,15,76 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 8,15,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,15,76) = 1

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

GCF(8,15,76) x common factors =1 x 4 = 4

LCM(8,15,76) = ( 8 × 15 × 76 ) / 4

LCM(8,15,76) = 9120 / 4

LCM(8,15,76) = 2280


Lets's calculate GCF of 90,660,750

2 90, 660, 750
3 45, 330, 375
5 15, 110, 125
3, 22, 25

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/30

Therefore the LCM of Fractions 8/90,15/660,76/750 is 76

Greatest Common Factor of 90,660,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,660,750 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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 90,660,750 . The biggest common factor number is the GCF number.
So the greatest common factor 90,660,750 is 30.


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 8/90, 15/660, 76/750

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 8/90, 15/660, 76/750?

Answer: LCM of Numerators as per given numbers 8/90, 15/660, 76/750 is

LCM of Numerators i.e. for 8,15,76 is 2280

GCF of denominators i.e. for 90,660,750 is 30.

Thus, LCM of Fractions is 76.Finally, LCM of Fractions for 8/90, 15/660, 76/750 is 76.