Least Common Multiple of 1355/684, 8702/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1355/684, 8702/857 quickly i.e. 11791210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1355/684, 8702/857 is 11791210.

LCM(1355/684, 8702/857) = 11791210

LCM of 1355/684, 8702/857

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 1355/684,8702/857

Given numbers are 1355/684,8702/857

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 1355,8702

Least Common Multiple of Numerators i.e. LCM of 1355,8702 is 11791210.

GCF of Denominators means GCF of 684,857 as per the given fractions.

GCF of 684,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1355,8702

LCM of Fractions 1355/684,8702/857 is 11791210

Given numbers has no common factors except 1. So, there LCM is their product i.e 11791210

Least Common Multiple of 1355,8702 with GCF Formula

Least Common Multiple of 1355,8702 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 1355,8702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1355,8702) = 1

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

GCF(1355,8702) x common factors =1 x 1 = 1

LCM(1355,8702) = ( 1355 × 8702 ) / 1

LCM(1355,8702) = 11791210 / 1

LCM(1355,8702) = 11791210


Lets's calculate GCF of 684,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11791210/1

Therefore the LCM of Fractions 1355/684,8702/857 is 11791210

Greatest Common Factor of 684,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,857 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 684,857 . The biggest common factor number is the GCF number.
So the greatest common factor 684,857 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 1355/684, 8702/857

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 1355/684, 8702/857?

Answer: LCM of Numerators as per given numbers 1355/684, 8702/857 is

LCM of Numerators i.e. for 1355,8702 is 11791210

GCF of denominators i.e. for 684,857 is 1.

Thus, LCM of Fractions is 11791210.Finally, LCM of Fractions for 1355/684, 8702/857 is 11791210.