Least Common Multiple of 7078/423, 5167/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7078/423, 5167/101 quickly i.e. 36572026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7078/423, 5167/101 is 36572026.

LCM(7078/423, 5167/101) = 36572026

LCM of 7078/423, 5167/101

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 7078/423,5167/101

Given numbers are 7078/423,5167/101

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 7078,5167

Least Common Multiple of Numerators i.e. LCM of 7078,5167 is 36572026.

GCF of Denominators means GCF of 423,101 as per the given fractions.

GCF of 423,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7078,5167

LCM of Fractions 7078/423,5167/101 is 36572026

Given numbers has no common factors except 1. So, there LCM is their product i.e 36572026

Least Common Multiple of 7078,5167 with GCF Formula

Least Common Multiple of 7078,5167 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 7078,5167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7078,5167) = 1

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

GCF(7078,5167) x common factors =1 x 1 = 1

LCM(7078,5167) = ( 7078 × 5167 ) / 1

LCM(7078,5167) = 36572026 / 1

LCM(7078,5167) = 36572026


Lets's calculate GCF of 423,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36572026/1

Therefore the LCM of Fractions 7078/423,5167/101 is 36572026

Greatest Common Factor of 423,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,101 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 423,101 . The biggest common factor number is the GCF number.
So the greatest common factor 423,101 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 7078/423, 5167/101

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 7078/423, 5167/101?

Answer: LCM of Numerators as per given numbers 7078/423, 5167/101 is

LCM of Numerators i.e. for 7078,5167 is 36572026

GCF of denominators i.e. for 423,101 is 1.

Thus, LCM of Fractions is 36572026.Finally, LCM of Fractions for 7078/423, 5167/101 is 36572026.