Least Common Multiple of 340/26, 857/9509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/26, 857/9509 quickly i.e. 291380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/26, 857/9509 is 291380.

LCM(340/26, 857/9509) = 291380

LCM of 340/26, 857/9509

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 340/26,857/9509

Given numbers are 340/26,857/9509

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 340,857

Least Common Multiple of Numerators i.e. LCM of 340,857 is 291380.

GCF of Denominators means GCF of 26,9509 as per the given fractions.

GCF of 26,9509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,857

LCM of Fractions 340/26,857/9509 is 291380

Given numbers has no common factors except 1. So, there LCM is their product i.e 291380

Least Common Multiple of 340,857 with GCF Formula

Least Common Multiple of 340,857 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 340,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,857) = 1

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

GCF(340,857) x common factors =1 x 1 = 1

LCM(340,857) = ( 340 × 857 ) / 1

LCM(340,857) = 291380 / 1

LCM(340,857) = 291380


Lets's calculate GCF of 26,9509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291380/1

Therefore the LCM of Fractions 340/26,857/9509 is 291380

Greatest Common Factor of 26,9509 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,9509 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 9509

List of positive integer factors of 9509 that divides 9509 without a remainder.

1,37,257,9509

Greatest Common Factor

We found the factors 26,9509 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9509 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 340/26, 857/9509

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 340/26, 857/9509?

Answer: LCM of Numerators as per given numbers 340/26, 857/9509 is

LCM of Numerators i.e. for 340,857 is 291380

GCF of denominators i.e. for 26,9509 is 1.

Thus, LCM of Fractions is 291380.Finally, LCM of Fractions for 340/26, 857/9509 is 291380.