Least Common Multiple of 7423/124, 4619/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7423/124, 4619/170 quickly i.e. 34286837/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7423/124, 4619/170 is 34286837/2.

LCM(7423/124, 4619/170) = 34286837/2

LCM of 7423/124, 4619/170

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 7423/124,4619/170

Given numbers are 7423/124,4619/170

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 7423,4619

Least Common Multiple of Numerators i.e. LCM of 7423,4619 is 34286837.

GCF of Denominators means GCF of 124,170 as per the given fractions.

GCF of 124,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7423,4619

LCM of Fractions 7423/124,4619/170 is 34286837/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 34286837

Least Common Multiple of 7423,4619 with GCF Formula

Least Common Multiple of 7423,4619 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 7423,4619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7423,4619) = 1

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

GCF(7423,4619) x common factors =1 x 1 = 1

LCM(7423,4619) = ( 7423 × 4619 ) / 1

LCM(7423,4619) = 34286837 / 1

LCM(7423,4619) = 34286837


Lets's calculate GCF of 124,170

2 124, 170
62, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34286837/2

Therefore the LCM of Fractions 7423/124,4619/170 is 34286837/2

Greatest Common Factor of 124,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,170 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 170

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

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

Greatest Common Factor

We found the factors 124,170 . The biggest common factor number is the GCF number.
So the greatest common factor 124,170 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 7423/124, 4619/170

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 7423/124, 4619/170?

Answer: LCM of Numerators as per given numbers 7423/124, 4619/170 is

LCM of Numerators i.e. for 7423,4619 is 34286837

GCF of denominators i.e. for 124,170 is 2.

Thus, LCM of Fractions is 34286837/2.Finally, LCM of Fractions for 7423/124, 4619/170 is 34286837/2.