Least Common Multiple of 762/385, 369/793, 312/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/385, 369/793, 312/565 quickly i.e. 4873752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/385, 369/793, 312/565 is 4873752.

LCM(762/385, 369/793, 312/565) = 4873752

LCM of 762/385, 369/793, 312/565

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 762/385,369/793,312/565

Given numbers are 762/385,369/793,312/565

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 762,369,312

Least Common Multiple of Numerators i.e. LCM of 762,369,312 is 4873752.

GCF of Denominators means GCF of 385,793,565 as per the given fractions.

GCF of 385,793,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,369,312

LCM of Fractions 762/385,369/793,312/565 is 4873752

2 762, 369, 312
3 381, 369, 156
127, 123, 52

∴ So the LCM of the given numbers is 2 x 3 x 127 x 123 x 52 = 4873752

Least Common Multiple of 762,369,312 with GCF Formula

Least Common Multiple of 762,369,312 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 762,369,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,369,312) = 3

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

GCF(762,369,312) x common factors =3 x 6 = 18

LCM(762,369,312) = ( 762 × 369 × 312 ) / 18

LCM(762,369,312) = 87727536 / 18

LCM(762,369,312) = 4873752


Lets's calculate GCF of 385,793,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4873752/1

Therefore the LCM of Fractions 762/385,369/793,312/565 is 4873752

Greatest Common Factor of 385,793,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,793,565 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 385,793,565 . The biggest common factor number is the GCF number.
So the greatest common factor 385,793,565 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 762/385, 369/793, 312/565

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 762/385, 369/793, 312/565?

Answer: LCM of Numerators as per given numbers 762/385, 369/793, 312/565 is

LCM of Numerators i.e. for 762,369,312 is 4873752

GCF of denominators i.e. for 385,793,565 is 1.

Thus, LCM of Fractions is 4873752.Finally, LCM of Fractions for 762/385, 369/793, 312/565 is 4873752.