Least Common Multiple of 51/735, 7424/8283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/735, 7424/8283 quickly i.e. 126208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/735, 7424/8283 is 126208.

LCM(51/735, 7424/8283) = 126208

LCM of 51/735, 7424/8283

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 51/735,7424/8283

Given numbers are 51/735,7424/8283

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 51,7424

Least Common Multiple of Numerators i.e. LCM of 51,7424 is 378624.

GCF of Denominators means GCF of 735,8283 as per the given fractions.

GCF of 735,8283 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,7424

LCM of Fractions 51/735,7424/8283 is 126208

Given numbers has no common factors except 1. So, there LCM is their product i.e 378624

Least Common Multiple of 51,7424 with GCF Formula

Least Common Multiple of 51,7424 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 51,7424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7424) = 1

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

GCF(51,7424) x common factors =1 x 1 = 1

LCM(51,7424) = ( 51 × 7424 ) / 1

LCM(51,7424) = 378624 / 1

LCM(51,7424) = 378624


Lets's calculate GCF of 735,8283

3 735, 8283
245, 2761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378624/3

Therefore the LCM of Fractions 51/735,7424/8283 is 126208

Greatest Common Factor of 735,8283 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,8283 By Matching Biggest Common Factor Method

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

Factors of 8283

List of positive integer factors of 8283 that divides 8283 without a remainder.

1,3,11,33,251,753,2761,8283

Greatest Common Factor

We found the factors 735,8283 . The biggest common factor number is the GCF number.
So the greatest common factor 735,8283 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 51/735, 7424/8283

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 51/735, 7424/8283?

Answer: LCM of Numerators as per given numbers 51/735, 7424/8283 is

LCM of Numerators i.e. for 51,7424 is 378624

GCF of denominators i.e. for 735,8283 is 3.

Thus, LCM of Fractions is 126208.Finally, LCM of Fractions for 51/735, 7424/8283 is 126208.