Least Common Multiple of 2/315, 68/498, 75/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/315, 68/498, 75/498 quickly i.e. 1700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/315, 68/498, 75/498 is 1700.

LCM(2/315, 68/498, 75/498) = 1700

LCM of 2/315, 68/498, 75/498

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 2/315,68/498,75/498

Given numbers are 2/315,68/498,75/498

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 2,68,75

Least Common Multiple of Numerators i.e. LCM of 2,68,75 is 5100.

GCF of Denominators means GCF of 315,498,498 as per the given fractions.

GCF of 315,498,498 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,68,75

LCM of Fractions 2/315,68/498,75/498 is 1700

2 2, 68, 75
1, 34, 75

∴ So the LCM of the given numbers is 2 x 1 x 34 x 75 = 5100

Least Common Multiple of 2,68,75 with GCF Formula

Least Common Multiple of 2,68,75 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 2,68,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,68,75) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(2,68,75) x common factors =1 x 2 = 2

LCM(2,68,75) = ( 2 × 68 × 75 ) / 2

LCM(2,68,75) = 10200 / 2

LCM(2,68,75) = 5100


Lets's calculate GCF of 315,498,498

3 315, 498, 498
105, 166, 166

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5100/3

Therefore the LCM of Fractions 2/315,68/498,75/498 is 1700

Greatest Common Factor of 315,498,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,498,498 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 315,498,498 . The biggest common factor number is the GCF number.
So the greatest common factor 315,498,498 is 3.


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 2/315, 68/498, 75/498

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 2/315, 68/498, 75/498?

Answer: LCM of Numerators as per given numbers 2/315, 68/498, 75/498 is

LCM of Numerators i.e. for 2,68,75 is 5100

GCF of denominators i.e. for 315,498,498 is 3.

Thus, LCM of Fractions is 1700.Finally, LCM of Fractions for 2/315, 68/498, 75/498 is 1700.