Least Common Multiple of 38/785, 512/662, 764/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/785, 512/662, 764/992 quickly i.e. 1858048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/785, 512/662, 764/992 is 1858048.

LCM(38/785, 512/662, 764/992) = 1858048

LCM of 38/785, 512/662, 764/992

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 38/785,512/662,764/992

Given numbers are 38/785,512/662,764/992

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 38,512,764

Least Common Multiple of Numerators i.e. LCM of 38,512,764 is 1858048.

GCF of Denominators means GCF of 785,662,992 as per the given fractions.

GCF of 785,662,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,512,764

LCM of Fractions 38/785,512/662,764/992 is 1858048

2 38, 512, 764
2 19, 256, 382
19, 128, 191

∴ So the LCM of the given numbers is 2 x 2 x 19 x 128 x 191 = 1858048

Least Common Multiple of 38,512,764 with GCF Formula

Least Common Multiple of 38,512,764 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 38,512,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,512,764) = 2

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

GCF(38,512,764) x common factors =2 x 4 = 8

LCM(38,512,764) = ( 38 × 512 × 764 ) / 8

LCM(38,512,764) = 14864384 / 8

LCM(38,512,764) = 1858048


Lets's calculate GCF of 785,662,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1858048/1

Therefore the LCM of Fractions 38/785,512/662,764/992 is 1858048

Greatest Common Factor of 785,662,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,662,992 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

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

Greatest Common Factor

We found the factors 785,662,992 . The biggest common factor number is the GCF number.
So the greatest common factor 785,662,992 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 38/785, 512/662, 764/992

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 38/785, 512/662, 764/992?

Answer: LCM of Numerators as per given numbers 38/785, 512/662, 764/992 is

LCM of Numerators i.e. for 38,512,764 is 1858048

GCF of denominators i.e. for 785,662,992 is 1.

Thus, LCM of Fractions is 1858048.Finally, LCM of Fractions for 38/785, 512/662, 764/992 is 1858048.