Least Common Multiple of 86/992, 150/768, 762/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/992, 150/768, 762/124 quickly i.e. 819150/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/992, 150/768, 762/124 is 819150/4.

LCM(86/992, 150/768, 762/124) = 819150/4

LCM of 86/992, 150/768, 762/124

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 86/992,150/768,762/124

Given numbers are 86/992,150/768,762/124

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 86,150,762

Least Common Multiple of Numerators i.e. LCM of 86,150,762 is 819150.

GCF of Denominators means GCF of 992,768,124 as per the given fractions.

GCF of 992,768,124 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,150,762

LCM of Fractions 86/992,150/768,762/124 is 819150/4

2 86, 150, 762
3 43, 75, 381
43, 25, 127

∴ So the LCM of the given numbers is 2 x 3 x 43 x 25 x 127 = 819150

Least Common Multiple of 86,150,762 with GCF Formula

Least Common Multiple of 86,150,762 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 86,150,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,150,762) = 2

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

GCF(86,150,762) x common factors =2 x 6 = 12

LCM(86,150,762) = ( 86 × 150 × 762 ) / 12

LCM(86,150,762) = 9829800 / 12

LCM(86,150,762) = 819150


Lets's calculate GCF of 992,768,124

2 992, 768, 124
2 496, 384, 62
248, 192, 31

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 819150/4

Therefore the LCM of Fractions 86/992,150/768,762/124 is 819150/4

Greatest Common Factor of 992,768,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,768,124 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

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

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 992,768,124 . The biggest common factor number is the GCF number.
So the greatest common factor 992,768,124 is 4.


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 86/992, 150/768, 762/124

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 86/992, 150/768, 762/124?

Answer: LCM of Numerators as per given numbers 86/992, 150/768, 762/124 is

LCM of Numerators i.e. for 86,150,762 is 819150

GCF of denominators i.e. for 992,768,124 is 4.

Thus, LCM of Fractions is 819150/4.Finally, LCM of Fractions for 86/992, 150/768, 762/124 is 819150/4.