Least Common Multiple of 702/84, 2575/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/84, 2575/507 quickly i.e. 602550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/84, 2575/507 is 602550.

LCM(702/84, 2575/507) = 602550

LCM of 702/84, 2575/507

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 702/84,2575/507

Given numbers are 702/84,2575/507

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 702,2575

Least Common Multiple of Numerators i.e. LCM of 702,2575 is 1807650.

GCF of Denominators means GCF of 84,507 as per the given fractions.

GCF of 84,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,2575

LCM of Fractions 702/84,2575/507 is 602550

Given numbers has no common factors except 1. So, there LCM is their product i.e 1807650

Least Common Multiple of 702,2575 with GCF Formula

Least Common Multiple of 702,2575 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 702,2575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,2575) = 1

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

GCF(702,2575) x common factors =1 x 1 = 1

LCM(702,2575) = ( 702 × 2575 ) / 1

LCM(702,2575) = 1807650 / 1

LCM(702,2575) = 1807650


Lets's calculate GCF of 84,507

3 84, 507
28, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807650/3

Therefore the LCM of Fractions 702/84,2575/507 is 602550

Greatest Common Factor of 84,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,507 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 84,507 . The biggest common factor number is the GCF number.
So the greatest common factor 84,507 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 702/84, 2575/507

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 702/84, 2575/507?

Answer: LCM of Numerators as per given numbers 702/84, 2575/507 is

LCM of Numerators i.e. for 702,2575 is 1807650

GCF of denominators i.e. for 84,507 is 3.

Thus, LCM of Fractions is 602550.Finally, LCM of Fractions for 702/84, 2575/507 is 602550.