Least Common Multiple of 4767/689, 8420/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4767/689, 8420/198 quickly i.e. 40138140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4767/689, 8420/198 is 40138140.

LCM(4767/689, 8420/198) = 40138140

LCM of 4767/689, 8420/198

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 4767/689,8420/198

Given numbers are 4767/689,8420/198

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 4767,8420

Least Common Multiple of Numerators i.e. LCM of 4767,8420 is 40138140.

GCF of Denominators means GCF of 689,198 as per the given fractions.

GCF of 689,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4767,8420

LCM of Fractions 4767/689,8420/198 is 40138140

Given numbers has no common factors except 1. So, there LCM is their product i.e 40138140

Least Common Multiple of 4767,8420 with GCF Formula

Least Common Multiple of 4767,8420 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 4767,8420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4767,8420) = 1

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

GCF(4767,8420) x common factors =1 x 1 = 1

LCM(4767,8420) = ( 4767 × 8420 ) / 1

LCM(4767,8420) = 40138140 / 1

LCM(4767,8420) = 40138140


Lets's calculate GCF of 689,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40138140/1

Therefore the LCM of Fractions 4767/689,8420/198 is 40138140

Greatest Common Factor of 689,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,198 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 689,198 . The biggest common factor number is the GCF number.
So the greatest common factor 689,198 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 4767/689, 8420/198

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 4767/689, 8420/198?

Answer: LCM of Numerators as per given numbers 4767/689, 8420/198 is

LCM of Numerators i.e. for 4767,8420 is 40138140

GCF of denominators i.e. for 689,198 is 1.

Thus, LCM of Fractions is 40138140.Finally, LCM of Fractions for 4767/689, 8420/198 is 40138140.