Least Common Multiple of 742/111, 357/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/111, 357/255 quickly i.e. 12614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/111, 357/255 is 12614.

LCM(742/111, 357/255) = 12614

LCM of 742/111, 357/255

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 742/111,357/255

Given numbers are 742/111,357/255

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 742,357

Least Common Multiple of Numerators i.e. LCM of 742,357 is 37842.

GCF of Denominators means GCF of 111,255 as per the given fractions.

GCF of 111,255 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,357

LCM of Fractions 742/111,357/255 is 12614

7 742, 357
106, 51

∴ So the LCM of the given numbers is 7 x 106 x 51 = 37842

Least Common Multiple of 742,357 with GCF Formula

Least Common Multiple of 742,357 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 742,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,357) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(742,357) x common factors =7 x 1 = 7

LCM(742,357) = ( 742 × 357 ) / 7

LCM(742,357) = 264894 / 7

LCM(742,357) = 37842


Lets's calculate GCF of 111,255

3 111, 255
37, 85

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37842/3

Therefore the LCM of Fractions 742/111,357/255 is 12614

Greatest Common Factor of 111,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,255 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 111,255 . The biggest common factor number is the GCF number.
So the greatest common factor 111,255 is 3.


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 742/111, 357/255

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 742/111, 357/255?

Answer: LCM of Numerators as per given numbers 742/111, 357/255 is

LCM of Numerators i.e. for 742,357 is 37842

GCF of denominators i.e. for 111,255 is 3.

Thus, LCM of Fractions is 12614.Finally, LCM of Fractions for 742/111, 357/255 is 12614.