Least Common Multiple of 9514/652, 8394/8642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9514/652, 8394/8642 quickly i.e. 19965129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9514/652, 8394/8642 is 19965129.

LCM(9514/652, 8394/8642) = 19965129

LCM of 9514/652, 8394/8642

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 9514/652,8394/8642

Given numbers are 9514/652,8394/8642

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 9514,8394

Least Common Multiple of Numerators i.e. LCM of 9514,8394 is 39930258.

GCF of Denominators means GCF of 652,8642 as per the given fractions.

GCF of 652,8642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9514,8394

LCM of Fractions 9514/652,8394/8642 is 19965129

2 9514, 8394
4757, 4197

∴ So the LCM of the given numbers is 2 x 4757 x 4197 = 39930258

Least Common Multiple of 9514,8394 with GCF Formula

Least Common Multiple of 9514,8394 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 9514,8394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9514,8394) = 2

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

GCF(9514,8394) x common factors =2 x 1 = 2

LCM(9514,8394) = ( 9514 × 8394 ) / 2

LCM(9514,8394) = 79860516 / 2

LCM(9514,8394) = 39930258


Lets's calculate GCF of 652,8642

2 652, 8642
326, 4321

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39930258/2

Therefore the LCM of Fractions 9514/652,8394/8642 is 19965129

Greatest Common Factor of 652,8642 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,8642 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1,2,29,58,149,298,4321,8642

Greatest Common Factor

We found the factors 652,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 652,8642 is 2.


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 9514/652, 8394/8642

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 9514/652, 8394/8642?

Answer: LCM of Numerators as per given numbers 9514/652, 8394/8642 is

LCM of Numerators i.e. for 9514,8394 is 39930258

GCF of denominators i.e. for 652,8642 is 2.

Thus, LCM of Fractions is 19965129.Finally, LCM of Fractions for 9514/652, 8394/8642 is 19965129.