Least Common Multiple of 506/766, 550/254, 344/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/766, 550/254, 344/741 quickly i.e. 2175800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/766, 550/254, 344/741 is 2175800.

LCM(506/766, 550/254, 344/741) = 2175800

LCM of 506/766, 550/254, 344/741

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 506/766,550/254,344/741

Given numbers are 506/766,550/254,344/741

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 506,550,344

Least Common Multiple of Numerators i.e. LCM of 506,550,344 is 2175800.

GCF of Denominators means GCF of 766,254,741 as per the given fractions.

GCF of 766,254,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,550,344

LCM of Fractions 506/766,550/254,344/741 is 2175800

2 506, 550, 344
11 253, 275, 172
23, 25, 172

∴ So the LCM of the given numbers is 2 x 11 x 23 x 25 x 172 = 2175800

Least Common Multiple of 506,550,344 with GCF Formula

Least Common Multiple of 506,550,344 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 506,550,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,550,344) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(506,550,344) x common factors =2 x 22 = 44

LCM(506,550,344) = ( 506 × 550 × 344 ) / 44

LCM(506,550,344) = 95735200 / 44

LCM(506,550,344) = 2175800


Lets's calculate GCF of 766,254,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2175800/1

Therefore the LCM of Fractions 506/766,550/254,344/741 is 2175800

Greatest Common Factor of 766,254,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,254,741 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 766,254,741 . The biggest common factor number is the GCF number.
So the greatest common factor 766,254,741 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 506/766, 550/254, 344/741

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 506/766, 550/254, 344/741?

Answer: LCM of Numerators as per given numbers 506/766, 550/254, 344/741 is

LCM of Numerators i.e. for 506,550,344 is 2175800

GCF of denominators i.e. for 766,254,741 is 1.

Thus, LCM of Fractions is 2175800.Finally, LCM of Fractions for 506/766, 550/254, 344/741 is 2175800.