Least Common Multiple of 8970/170, 5254/6945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8970/170, 5254/6945 quickly i.e. 4712838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8970/170, 5254/6945 is 4712838.

LCM(8970/170, 5254/6945) = 4712838

LCM of 8970/170, 5254/6945

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 8970/170,5254/6945

Given numbers are 8970/170,5254/6945

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 8970,5254

Least Common Multiple of Numerators i.e. LCM of 8970,5254 is 23564190.

GCF of Denominators means GCF of 170,6945 as per the given fractions.

GCF of 170,6945 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8970,5254

LCM of Fractions 8970/170,5254/6945 is 4712838

2 8970, 5254
4485, 2627

∴ So the LCM of the given numbers is 2 x 4485 x 2627 = 23564190

Least Common Multiple of 8970,5254 with GCF Formula

Least Common Multiple of 8970,5254 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 8970,5254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8970,5254) = 2

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

GCF(8970,5254) x common factors =2 x 1 = 2

LCM(8970,5254) = ( 8970 × 5254 ) / 2

LCM(8970,5254) = 47128380 / 2

LCM(8970,5254) = 23564190


Lets's calculate GCF of 170,6945

5 170, 6945
34, 1389

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23564190/5

Therefore the LCM of Fractions 8970/170,5254/6945 is 4712838

Greatest Common Factor of 170,6945 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,6945 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1,3,5,15,463,1389,2315,6945

Greatest Common Factor

We found the factors 170,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 170,6945 is 5.


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 8970/170, 5254/6945

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 8970/170, 5254/6945?

Answer: LCM of Numerators as per given numbers 8970/170, 5254/6945 is

LCM of Numerators i.e. for 8970,5254 is 23564190

GCF of denominators i.e. for 170,6945 is 5.

Thus, LCM of Fractions is 4712838.Finally, LCM of Fractions for 8970/170, 5254/6945 is 4712838.