Least Common Multiple of 8624/671, 4312/6161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8624/671, 4312/6161 quickly i.e. 8624/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8624/671, 4312/6161 is 8624/61.

LCM(8624/671, 4312/6161) = 8624/61

LCM of 8624/671, 4312/6161

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 8624/671,4312/6161

Given numbers are 8624/671,4312/6161

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 8624,4312

Least Common Multiple of Numerators i.e. LCM of 8624,4312 is 8624.

GCF of Denominators means GCF of 671,6161 as per the given fractions.

GCF of 671,6161 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8624,4312

LCM of Fractions 8624/671,4312/6161 is 8624/61

2 8624, 4312
2 4312, 2156
2 1078, 2156
7 539, 1078
7 77, 154
11 11, 22
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 7 x 11 x 1 x 2 = 8624

Least Common Multiple of 8624,4312 with GCF Formula

Least Common Multiple of 8624,4312 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 8624,4312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8624,4312) = 4312

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

GCF(8624,4312) x common factors =4312 x 1 = 4312

LCM(8624,4312) = ( 8624 × 4312 ) / 4312

LCM(8624,4312) = 37186688 / 4312

LCM(8624,4312) = 8624


Lets's calculate GCF of 671,6161

61 671, 6161
11, 101

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8624/61

Therefore the LCM of Fractions 8624/671,4312/6161 is 8624/61

Greatest Common Factor of 671,6161 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,6161 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 6161

List of positive integer factors of 6161 that divides 6161 without a remainder.

1,61,101,6161

Greatest Common Factor

We found the factors 671,6161 . The biggest common factor number is the GCF number.
So the greatest common factor 671,6161 is 61.


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 8624/671, 4312/6161

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 8624/671, 4312/6161?

Answer: LCM of Numerators as per given numbers 8624/671, 4312/6161 is

LCM of Numerators i.e. for 8624,4312 is 8624

GCF of denominators i.e. for 671,6161 is 61.

Thus, LCM of Fractions is 8624/61.Finally, LCM of Fractions for 8624/671, 4312/6161 is 8624/61.