Least Common Multiple of 315/26, 982/3400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/26, 982/3400 quickly i.e. 154665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/26, 982/3400 is 154665.

LCM(315/26, 982/3400) = 154665

LCM of 315/26, 982/3400

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 315/26,982/3400

Given numbers are 315/26,982/3400

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 315,982

Least Common Multiple of Numerators i.e. LCM of 315,982 is 309330.

GCF of Denominators means GCF of 26,3400 as per the given fractions.

GCF of 26,3400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,982

LCM of Fractions 315/26,982/3400 is 154665

Given numbers has no common factors except 1. So, there LCM is their product i.e 309330

Least Common Multiple of 315,982 with GCF Formula

Least Common Multiple of 315,982 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 315,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,982) = 1

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

GCF(315,982) x common factors =1 x 1 = 1

LCM(315,982) = ( 315 × 982 ) / 1

LCM(315,982) = 309330 / 1

LCM(315,982) = 309330


Lets's calculate GCF of 26,3400

2 26, 3400
13, 1700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309330/2

Therefore the LCM of Fractions 315/26,982/3400 is 154665

Greatest Common Factor of 26,3400 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,3400 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Greatest Common Factor

We found the factors 26,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3400 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 315/26, 982/3400

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 315/26, 982/3400?

Answer: LCM of Numerators as per given numbers 315/26, 982/3400 is

LCM of Numerators i.e. for 315,982 is 309330

GCF of denominators i.e. for 26,3400 is 2.

Thus, LCM of Fractions is 154665.Finally, LCM of Fractions for 315/26, 982/3400 is 154665.