Least Common Multiple of 7670/349, 2124/4161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7670/349, 2124/4161 quickly i.e. 138060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7670/349, 2124/4161 is 138060.

LCM(7670/349, 2124/4161) = 138060

LCM of 7670/349, 2124/4161

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 7670/349,2124/4161

Given numbers are 7670/349,2124/4161

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 7670,2124

Least Common Multiple of Numerators i.e. LCM of 7670,2124 is 138060.

GCF of Denominators means GCF of 349,4161 as per the given fractions.

GCF of 349,4161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7670,2124

LCM of Fractions 7670/349,2124/4161 is 138060

2 7670, 2124
59 3835, 1062
65, 18

∴ So the LCM of the given numbers is 2 x 59 x 65 x 18 = 138060

Least Common Multiple of 7670,2124 with GCF Formula

Least Common Multiple of 7670,2124 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 7670,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7670,2124) = 118

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

GCF(7670,2124) x common factors =118 x 1 = 118

LCM(7670,2124) = ( 7670 × 2124 ) / 118

LCM(7670,2124) = 16291080 / 118

LCM(7670,2124) = 138060


Lets's calculate GCF of 349,4161

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138060/1

Therefore the LCM of Fractions 7670/349,2124/4161 is 138060

Greatest Common Factor of 349,4161 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,4161 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 4161

List of positive integer factors of 4161 that divides 4161 without a remainder.

1,3,19,57,73,219,1387,4161

Greatest Common Factor

We found the factors 349,4161 . The biggest common factor number is the GCF number.
So the greatest common factor 349,4161 is 1.


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 7670/349, 2124/4161

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 7670/349, 2124/4161?

Answer: LCM of Numerators as per given numbers 7670/349, 2124/4161 is

LCM of Numerators i.e. for 7670,2124 is 138060

GCF of denominators i.e. for 349,4161 is 1.

Thus, LCM of Fractions is 138060.Finally, LCM of Fractions for 7670/349, 2124/4161 is 138060.