Least Common Multiple of 15/303, 122/716, 558/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/303, 122/716, 558/398 quickly i.e. 170190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/303, 122/716, 558/398 is 170190.

LCM(15/303, 122/716, 558/398) = 170190

LCM of 15/303, 122/716, 558/398

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 15/303,122/716,558/398

Given numbers are 15/303,122/716,558/398

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 15,122,558

Least Common Multiple of Numerators i.e. LCM of 15,122,558 is 170190.

GCF of Denominators means GCF of 303,716,398 as per the given fractions.

GCF of 303,716,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,122,558

LCM of Fractions 15/303,122/716,558/398 is 170190

2 15, 122, 558
3 15, 61, 279
5, 61, 93

∴ So the LCM of the given numbers is 2 x 3 x 5 x 61 x 93 = 170190

Least Common Multiple of 15,122,558 with GCF Formula

Least Common Multiple of 15,122,558 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 15,122,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,122,558) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(15,122,558) x common factors =1 x 6 = 6

LCM(15,122,558) = ( 15 × 122 × 558 ) / 6

LCM(15,122,558) = 1021140 / 6

LCM(15,122,558) = 170190


Lets's calculate GCF of 303,716,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170190/1

Therefore the LCM of Fractions 15/303,122/716,558/398 is 170190

Greatest Common Factor of 303,716,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,716,398 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 303,716,398 . The biggest common factor number is the GCF number.
So the greatest common factor 303,716,398 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 15/303, 122/716, 558/398

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 15/303, 122/716, 558/398?

Answer: LCM of Numerators as per given numbers 15/303, 122/716, 558/398 is

LCM of Numerators i.e. for 15,122,558 is 170190

GCF of denominators i.e. for 303,716,398 is 1.

Thus, LCM of Fractions is 170190.Finally, LCM of Fractions for 15/303, 122/716, 558/398 is 170190.