Least Common Multiple of 23/102, 862/727, 398/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/102, 862/727, 398/849 quickly i.e. 3945374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/102, 862/727, 398/849 is 3945374.

LCM(23/102, 862/727, 398/849) = 3945374

LCM of 23/102, 862/727, 398/849

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 23/102,862/727,398/849

Given numbers are 23/102,862/727,398/849

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 23,862,398

Least Common Multiple of Numerators i.e. LCM of 23,862,398 is 3945374.

GCF of Denominators means GCF of 102,727,849 as per the given fractions.

GCF of 102,727,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,862,398

LCM of Fractions 23/102,862/727,398/849 is 3945374

2 23, 862, 398
23, 431, 199

∴ So the LCM of the given numbers is 2 x 23 x 431 x 199 = 3945374

Least Common Multiple of 23,862,398 with GCF Formula

Least Common Multiple of 23,862,398 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 23,862,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,862,398) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,862,398) x common factors =1 x 2 = 2

LCM(23,862,398) = ( 23 × 862 × 398 ) / 2

LCM(23,862,398) = 7890748 / 2

LCM(23,862,398) = 3945374


Lets's calculate GCF of 102,727,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3945374/1

Therefore the LCM of Fractions 23/102,862/727,398/849 is 3945374

Greatest Common Factor of 102,727,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,727,849 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 102,727,849 . The biggest common factor number is the GCF number.
So the greatest common factor 102,727,849 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 23/102, 862/727, 398/849

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 23/102, 862/727, 398/849?

Answer: LCM of Numerators as per given numbers 23/102, 862/727, 398/849 is

LCM of Numerators i.e. for 23,862,398 is 3945374

GCF of denominators i.e. for 102,727,849 is 1.

Thus, LCM of Fractions is 3945374.Finally, LCM of Fractions for 23/102, 862/727, 398/849 is 3945374.