Least Common Multiple of 90/914, 42/130, 848/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/914, 42/130, 848/768 quickly i.e. 133560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/914, 42/130, 848/768 is 133560.

LCM(90/914, 42/130, 848/768) = 133560

LCM of 90/914, 42/130, 848/768

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 90/914,42/130,848/768

Given numbers are 90/914,42/130,848/768

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 90,42,848

Least Common Multiple of Numerators i.e. LCM of 90,42,848 is 267120.

GCF of Denominators means GCF of 914,130,768 as per the given fractions.

GCF of 914,130,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,42,848

LCM of Fractions 90/914,42/130,848/768 is 133560

2 90, 42, 848
3 45, 21, 424
15, 7, 424

∴ So the LCM of the given numbers is 2 x 3 x 15 x 7 x 424 = 267120

Least Common Multiple of 90,42,848 with GCF Formula

Least Common Multiple of 90,42,848 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 90,42,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,42,848) = 2

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

GCF(90,42,848) x common factors =2 x 6 = 12

LCM(90,42,848) = ( 90 × 42 × 848 ) / 12

LCM(90,42,848) = 3205440 / 12

LCM(90,42,848) = 267120


Lets's calculate GCF of 914,130,768

2 914, 130, 768
457, 65, 384

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267120/2

Therefore the LCM of Fractions 90/914,42/130,848/768 is 133560

Greatest Common Factor of 914,130,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,130,768 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 914,130,768 . The biggest common factor number is the GCF number.
So the greatest common factor 914,130,768 is 2.


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 90/914, 42/130, 848/768

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 90/914, 42/130, 848/768?

Answer: LCM of Numerators as per given numbers 90/914, 42/130, 848/768 is

LCM of Numerators i.e. for 90,42,848 is 267120

GCF of denominators i.e. for 914,130,768 is 2.

Thus, LCM of Fractions is 133560.Finally, LCM of Fractions for 90/914, 42/130, 848/768 is 133560.