Least Common Multiple of 315/66, 998/7240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/66, 998/7240 quickly i.e. 157185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/66, 998/7240 is 157185.

LCM(315/66, 998/7240) = 157185

LCM of 315/66, 998/7240

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 315/66,998/7240

Given numbers are 315/66,998/7240

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 315,998

Least Common Multiple of Numerators i.e. LCM of 315,998 is 314370.

GCF of Denominators means GCF of 66,7240 as per the given fractions.

GCF of 66,7240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,998

LCM of Fractions 315/66,998/7240 is 157185

Given numbers has no common factors except 1. So, there LCM is their product i.e 314370

Least Common Multiple of 315,998 with GCF Formula

Least Common Multiple of 315,998 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 315,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,998) = 1

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

GCF(315,998) x common factors =1 x 1 = 1

LCM(315,998) = ( 315 × 998 ) / 1

LCM(315,998) = 314370 / 1

LCM(315,998) = 314370


Lets's calculate GCF of 66,7240

2 66, 7240
33, 3620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314370/2

Therefore the LCM of Fractions 315/66,998/7240 is 157185

Greatest Common Factor of 66,7240 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,7240 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240

Greatest Common Factor

We found the factors 66,7240 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7240 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 315/66, 998/7240

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 315/66, 998/7240?

Answer: LCM of Numerators as per given numbers 315/66, 998/7240 is

LCM of Numerators i.e. for 315,998 is 314370

GCF of denominators i.e. for 66,7240 is 2.

Thus, LCM of Fractions is 157185.Finally, LCM of Fractions for 315/66, 998/7240 is 157185.