Least Common Multiple of 7867/590, 5028/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7867/590, 5028/122 quickly i.e. 19777638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7867/590, 5028/122 is 19777638.

LCM(7867/590, 5028/122) = 19777638

LCM of 7867/590, 5028/122

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 7867/590,5028/122

Given numbers are 7867/590,5028/122

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 7867,5028

Least Common Multiple of Numerators i.e. LCM of 7867,5028 is 39555276.

GCF of Denominators means GCF of 590,122 as per the given fractions.

GCF of 590,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7867,5028

LCM of Fractions 7867/590,5028/122 is 19777638

Given numbers has no common factors except 1. So, there LCM is their product i.e 39555276

Least Common Multiple of 7867,5028 with GCF Formula

Least Common Multiple of 7867,5028 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 7867,5028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7867,5028) = 1

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

GCF(7867,5028) x common factors =1 x 1 = 1

LCM(7867,5028) = ( 7867 × 5028 ) / 1

LCM(7867,5028) = 39555276 / 1

LCM(7867,5028) = 39555276


Lets's calculate GCF of 590,122

2 590, 122
295, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39555276/2

Therefore the LCM of Fractions 7867/590,5028/122 is 19777638

Greatest Common Factor of 590,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,122 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 590,122 . The biggest common factor number is the GCF number.
So the greatest common factor 590,122 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 7867/590, 5028/122

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 7867/590, 5028/122?

Answer: LCM of Numerators as per given numbers 7867/590, 5028/122 is

LCM of Numerators i.e. for 7867,5028 is 39555276

GCF of denominators i.e. for 590,122 is 2.

Thus, LCM of Fractions is 19777638.Finally, LCM of Fractions for 7867/590, 5028/122 is 19777638.