Least Common Multiple of 18/706, 9457/6360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/706, 9457/6360 quickly i.e. 85113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/706, 9457/6360 is 85113.

LCM(18/706, 9457/6360) = 85113

LCM of 18/706, 9457/6360

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 18/706,9457/6360

Given numbers are 18/706,9457/6360

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 18,9457

Least Common Multiple of Numerators i.e. LCM of 18,9457 is 170226.

GCF of Denominators means GCF of 706,6360 as per the given fractions.

GCF of 706,6360 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,9457

LCM of Fractions 18/706,9457/6360 is 85113

Given numbers has no common factors except 1. So, there LCM is their product i.e 170226

Least Common Multiple of 18,9457 with GCF Formula

Least Common Multiple of 18,9457 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 18,9457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,9457) = 1

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

GCF(18,9457) x common factors =1 x 1 = 1

LCM(18,9457) = ( 18 × 9457 ) / 1

LCM(18,9457) = 170226 / 1

LCM(18,9457) = 170226


Lets's calculate GCF of 706,6360

2 706, 6360
353, 3180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170226/2

Therefore the LCM of Fractions 18/706,9457/6360 is 85113

Greatest Common Factor of 706,6360 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,6360 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360

Greatest Common Factor

We found the factors 706,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 706,6360 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 18/706, 9457/6360

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 18/706, 9457/6360?

Answer: LCM of Numerators as per given numbers 18/706, 9457/6360 is

LCM of Numerators i.e. for 18,9457 is 170226

GCF of denominators i.e. for 706,6360 is 2.

Thus, LCM of Fractions is 85113.Finally, LCM of Fractions for 18/706, 9457/6360 is 85113.