Least Common Multiple of 642/645, 5299/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 642/645, 5299/102 quickly i.e. 1133986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/645, 5299/102 is 1133986.

LCM(642/645, 5299/102) = 1133986

LCM of 642/645, 5299/102

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 642/645,5299/102

Given numbers are 642/645,5299/102

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 642,5299

Least Common Multiple of Numerators i.e. LCM of 642,5299 is 3401958.

GCF of Denominators means GCF of 645,102 as per the given fractions.

GCF of 645,102 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,5299

LCM of Fractions 642/645,5299/102 is 1133986

Given numbers has no common factors except 1. So, there LCM is their product i.e 3401958

Least Common Multiple of 642,5299 with GCF Formula

Least Common Multiple of 642,5299 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 642,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,5299) = 1

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

GCF(642,5299) x common factors =1 x 1 = 1

LCM(642,5299) = ( 642 × 5299 ) / 1

LCM(642,5299) = 3401958 / 1

LCM(642,5299) = 3401958


Lets's calculate GCF of 645,102

3 645, 102
215, 34

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3401958/3

Therefore the LCM of Fractions 642/645,5299/102 is 1133986

Greatest Common Factor of 645,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,102 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 102

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

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

Greatest Common Factor

We found the factors 645,102 . The biggest common factor number is the GCF number.
So the greatest common factor 645,102 is 3.


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Frequently Asked Questions on Fractional LCM of 642/645, 5299/102

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 642/645, 5299/102?

Answer: LCM of Numerators as per given numbers 642/645, 5299/102 is

LCM of Numerators i.e. for 642,5299 is 3401958

GCF of denominators i.e. for 645,102 is 3.

Thus, LCM of Fractions is 1133986.Finally, LCM of Fractions for 642/645, 5299/102 is 1133986.