Least Common Multiple of 714/153, 281/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/153, 281/735 quickly i.e. 66878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/153, 281/735 is 66878.

LCM(714/153, 281/735) = 66878

LCM of 714/153, 281/735

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 714/153,281/735

Given numbers are 714/153,281/735

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 714,281

Least Common Multiple of Numerators i.e. LCM of 714,281 is 200634.

GCF of Denominators means GCF of 153,735 as per the given fractions.

GCF of 153,735 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,281

LCM of Fractions 714/153,281/735 is 66878

Given numbers has no common factors except 1. So, there LCM is their product i.e 200634

Least Common Multiple of 714,281 with GCF Formula

Least Common Multiple of 714,281 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 714,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,281) = 1

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

GCF(714,281) x common factors =1 x 1 = 1

LCM(714,281) = ( 714 × 281 ) / 1

LCM(714,281) = 200634 / 1

LCM(714,281) = 200634


Lets's calculate GCF of 153,735

3 153, 735
51, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200634/3

Therefore the LCM of Fractions 714/153,281/735 is 66878

Greatest Common Factor of 153,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,735 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 153,735 . The biggest common factor number is the GCF number.
So the greatest common factor 153,735 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 714/153, 281/735

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 714/153, 281/735?

Answer: LCM of Numerators as per given numbers 714/153, 281/735 is

LCM of Numerators i.e. for 714,281 is 200634

GCF of denominators i.e. for 153,735 is 3.

Thus, LCM of Fractions is 66878.Finally, LCM of Fractions for 714/153, 281/735 is 66878.