Least Common Multiple of 765/290, 490/257, 373/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/290, 490/257, 373/758 quickly i.e. 27963810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/290, 490/257, 373/758 is 27963810.

LCM(765/290, 490/257, 373/758) = 27963810

LCM of 765/290, 490/257, 373/758

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 765/290,490/257,373/758

Given numbers are 765/290,490/257,373/758

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 765,490,373

Least Common Multiple of Numerators i.e. LCM of 765,490,373 is 27963810.

GCF of Denominators means GCF of 290,257,758 as per the given fractions.

GCF of 290,257,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,490,373

LCM of Fractions 765/290,490/257,373/758 is 27963810

5 765, 490, 373
153, 98, 373

∴ So the LCM of the given numbers is 5 x 153 x 98 x 373 = 27963810

Least Common Multiple of 765,490,373 with GCF Formula

Least Common Multiple of 765,490,373 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 765,490,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,490,373) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(765,490,373) x common factors =1 x 5 = 5

LCM(765,490,373) = ( 765 × 490 × 373 ) / 5

LCM(765,490,373) = 139819050 / 5

LCM(765,490,373) = 27963810


Lets's calculate GCF of 290,257,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27963810/1

Therefore the LCM of Fractions 765/290,490/257,373/758 is 27963810

Greatest Common Factor of 290,257,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,257,758 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 290,257,758 . The biggest common factor number is the GCF number.
So the greatest common factor 290,257,758 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 765/290, 490/257, 373/758

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 765/290, 490/257, 373/758?

Answer: LCM of Numerators as per given numbers 765/290, 490/257, 373/758 is

LCM of Numerators i.e. for 765,490,373 is 27963810

GCF of denominators i.e. for 290,257,758 is 1.

Thus, LCM of Fractions is 27963810.Finally, LCM of Fractions for 765/290, 490/257, 373/758 is 27963810.