Least Common Multiple of 315/42, 988/35, 809/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/42, 988/35, 809/410 quickly i.e. 251776980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/42, 988/35, 809/410 is 251776980.

LCM(315/42, 988/35, 809/410) = 251776980

LCM of 315/42, 988/35, 809/410

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 315/42,988/35,809/410

Given numbers are 315/42,988/35,809/410

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 315,988,809

Least Common Multiple of Numerators i.e. LCM of 315,988,809 is 251776980.

GCF of Denominators means GCF of 42,35,410 as per the given fractions.

GCF of 42,35,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,988,809

LCM of Fractions 315/42,988/35,809/410 is 251776980

Given numbers has no common factors except 1. So, there LCM is their product i.e 251776980

Least Common Multiple of 315,988,809 with GCF Formula

Least Common Multiple of 315,988,809 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 315,988,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,988,809) = 1

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

GCF(315,988,809) x common factors =1 x 1 = 1

LCM(315,988,809) = ( 315 × 988 × 809 ) / 1

LCM(315,988,809) = 251776980 / 1

LCM(315,988,809) = 251776980


Lets's calculate GCF of 42,35,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251776980/1

Therefore the LCM of Fractions 315/42,988/35,809/410 is 251776980

Greatest Common Factor of 42,35,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,35,410 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 42,35,410 . The biggest common factor number is the GCF number.
So the greatest common factor 42,35,410 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 315/42, 988/35, 809/410

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 315/42, 988/35, 809/410?

Answer: LCM of Numerators as per given numbers 315/42, 988/35, 809/410 is

LCM of Numerators i.e. for 315,988,809 is 251776980

GCF of denominators i.e. for 42,35,410 is 1.

Thus, LCM of Fractions is 251776980.Finally, LCM of Fractions for 315/42, 988/35, 809/410 is 251776980.