Least Common Multiple of 282/602, 251/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/602, 251/785 quickly i.e. 70782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/602, 251/785 is 70782.

LCM(282/602, 251/785) = 70782

LCM of 282/602, 251/785

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 282/602,251/785

Given numbers are 282/602,251/785

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 282,251

Least Common Multiple of Numerators i.e. LCM of 282,251 is 70782.

GCF of Denominators means GCF of 602,785 as per the given fractions.

GCF of 602,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,251

LCM of Fractions 282/602,251/785 is 70782

Given numbers has no common factors except 1. So, there LCM is their product i.e 70782

Least Common Multiple of 282,251 with GCF Formula

Least Common Multiple of 282,251 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 282,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,251) = 1

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

GCF(282,251) x common factors =1 x 1 = 1

LCM(282,251) = ( 282 × 251 ) / 1

LCM(282,251) = 70782 / 1

LCM(282,251) = 70782


Lets's calculate GCF of 602,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70782/1

Therefore the LCM of Fractions 282/602,251/785 is 70782

Greatest Common Factor of 602,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,785 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 602,785 . The biggest common factor number is the GCF number.
So the greatest common factor 602,785 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 282/602, 251/785

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 282/602, 251/785?

Answer: LCM of Numerators as per given numbers 282/602, 251/785 is

LCM of Numerators i.e. for 282,251 is 70782

GCF of denominators i.e. for 602,785 is 1.

Thus, LCM of Fractions is 70782.Finally, LCM of Fractions for 282/602, 251/785 is 70782.