Least Common Multiple of 6122/698, 7418/2045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6122/698, 7418/2045 quickly i.e. 22706498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6122/698, 7418/2045 is 22706498.

LCM(6122/698, 7418/2045) = 22706498

LCM of 6122/698, 7418/2045

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 6122/698,7418/2045

Given numbers are 6122/698,7418/2045

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 6122,7418

Least Common Multiple of Numerators i.e. LCM of 6122,7418 is 22706498.

GCF of Denominators means GCF of 698,2045 as per the given fractions.

GCF of 698,2045 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6122,7418

LCM of Fractions 6122/698,7418/2045 is 22706498

2 6122, 7418
3061, 3709

∴ So the LCM of the given numbers is 2 x 3061 x 3709 = 22706498

Least Common Multiple of 6122,7418 with GCF Formula

Least Common Multiple of 6122,7418 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 6122,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6122,7418) = 2

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

GCF(6122,7418) x common factors =2 x 1 = 2

LCM(6122,7418) = ( 6122 × 7418 ) / 2

LCM(6122,7418) = 45412996 / 2

LCM(6122,7418) = 22706498


Lets's calculate GCF of 698,2045

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22706498/1

Therefore the LCM of Fractions 6122/698,7418/2045 is 22706498

Greatest Common Factor of 698,2045 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,2045 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 2045

List of positive integer factors of 2045 that divides 2045 without a remainder.

1,5,409,2045

Greatest Common Factor

We found the factors 698,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 698,2045 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 6122/698, 7418/2045

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 6122/698, 7418/2045?

Answer: LCM of Numerators as per given numbers 6122/698, 7418/2045 is

LCM of Numerators i.e. for 6122,7418 is 22706498

GCF of denominators i.e. for 698,2045 is 1.

Thus, LCM of Fractions is 22706498.Finally, LCM of Fractions for 6122/698, 7418/2045 is 22706498.