Least Common Multiple of 69/798, 942/53, 452/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/798, 942/53, 452/195 quickly i.e. 4896516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/798, 942/53, 452/195 is 4896516.

LCM(69/798, 942/53, 452/195) = 4896516

LCM of 69/798, 942/53, 452/195

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 69/798,942/53,452/195

Given numbers are 69/798,942/53,452/195

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 69,942,452

Least Common Multiple of Numerators i.e. LCM of 69,942,452 is 4896516.

GCF of Denominators means GCF of 798,53,195 as per the given fractions.

GCF of 798,53,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,942,452

LCM of Fractions 69/798,942/53,452/195 is 4896516

2 69, 942, 452
3 69, 471, 226
23, 157, 226

∴ So the LCM of the given numbers is 2 x 3 x 23 x 157 x 226 = 4896516

Least Common Multiple of 69,942,452 with GCF Formula

Least Common Multiple of 69,942,452 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 69,942,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,942,452) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,942,452) x common factors =1 x 6 = 6

LCM(69,942,452) = ( 69 × 942 × 452 ) / 6

LCM(69,942,452) = 29379096 / 6

LCM(69,942,452) = 4896516


Lets's calculate GCF of 798,53,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4896516/1

Therefore the LCM of Fractions 69/798,942/53,452/195 is 4896516

Greatest Common Factor of 798,53,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,53,195 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 798,53,195 . The biggest common factor number is the GCF number.
So the greatest common factor 798,53,195 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/798, 942/53, 452/195

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 69/798, 942/53, 452/195?

Answer: LCM of Numerators as per given numbers 69/798, 942/53, 452/195 is

LCM of Numerators i.e. for 69,942,452 is 4896516

GCF of denominators i.e. for 798,53,195 is 1.

Thus, LCM of Fractions is 4896516.Finally, LCM of Fractions for 69/798, 942/53, 452/195 is 4896516.