Least Common Multiple of 372/262, 283/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 372/262, 283/714 quickly i.e. 52638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/262, 283/714 is 52638.

LCM(372/262, 283/714) = 52638

LCM of 372/262, 283/714

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 372/262,283/714

Given numbers are 372/262,283/714

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 372,283

Least Common Multiple of Numerators i.e. LCM of 372,283 is 105276.

GCF of Denominators means GCF of 262,714 as per the given fractions.

GCF of 262,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,283

LCM of Fractions 372/262,283/714 is 52638

Given numbers has no common factors except 1. So, there LCM is their product i.e 105276

Least Common Multiple of 372,283 with GCF Formula

Least Common Multiple of 372,283 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 372,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,283) = 1

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

GCF(372,283) x common factors =1 x 1 = 1

LCM(372,283) = ( 372 × 283 ) / 1

LCM(372,283) = 105276 / 1

LCM(372,283) = 105276


Lets's calculate GCF of 262,714

2 262, 714
131, 357

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105276/2

Therefore the LCM of Fractions 372/262,283/714 is 52638

Greatest Common Factor of 262,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,714 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 262,714 . The biggest common factor number is the GCF number.
So the greatest common factor 262,714 is 2.


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 372/262, 283/714

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 372/262, 283/714?

Answer: LCM of Numerators as per given numbers 372/262, 283/714 is

LCM of Numerators i.e. for 372,283 is 105276

GCF of denominators i.e. for 262,714 is 2.

Thus, LCM of Fractions is 52638.Finally, LCM of Fractions for 372/262, 283/714 is 52638.