Least Common Multiple of 7170/845, 2357/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7170/845, 2357/507 quickly i.e. 16899690/169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7170/845, 2357/507 is 16899690/169.

LCM(7170/845, 2357/507) = 16899690/169

LCM of 7170/845, 2357/507

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 7170/845,2357/507

Given numbers are 7170/845,2357/507

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 7170,2357

Least Common Multiple of Numerators i.e. LCM of 7170,2357 is 16899690.

GCF of Denominators means GCF of 845,507 as per the given fractions.

GCF of 845,507 is 169 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7170,2357

LCM of Fractions 7170/845,2357/507 is 16899690/169

Given numbers has no common factors except 1. So, there LCM is their product i.e 16899690

Least Common Multiple of 7170,2357 with GCF Formula

Least Common Multiple of 7170,2357 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 7170,2357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7170,2357) = 1

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

GCF(7170,2357) x common factors =1 x 1 = 1

LCM(7170,2357) = ( 7170 × 2357 ) / 1

LCM(7170,2357) = 16899690 / 1

LCM(7170,2357) = 16899690


Lets's calculate GCF of 845,507

13 845, 507
13 65, 39
5, 3

∴ So the GCF of the given numbers is 13 x 13 = 169

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16899690/169

Therefore the LCM of Fractions 7170/845,2357/507 is 16899690/169

Greatest Common Factor of 845,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,507 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

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 845,507 . The biggest common factor number is the GCF number.
So the greatest common factor 845,507 is 169.


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 7170/845, 2357/507

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 7170/845, 2357/507?

Answer: LCM of Numerators as per given numbers 7170/845, 2357/507 is

LCM of Numerators i.e. for 7170,2357 is 16899690

GCF of denominators i.e. for 845,507 is 169.

Thus, LCM of Fractions is 16899690/169.Finally, LCM of Fractions for 7170/845, 2357/507 is 16899690/169.