Least Common Multiple of 690/152, 342/742, 113/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/152, 342/742, 113/396 quickly i.e. 2222145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/152, 342/742, 113/396 is 2222145.

LCM(690/152, 342/742, 113/396) = 2222145

LCM of 690/152, 342/742, 113/396

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 690/152,342/742,113/396

Given numbers are 690/152,342/742,113/396

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 690,342,113

Least Common Multiple of Numerators i.e. LCM of 690,342,113 is 4444290.

GCF of Denominators means GCF of 152,742,396 as per the given fractions.

GCF of 152,742,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,342,113

LCM of Fractions 690/152,342/742,113/396 is 2222145

2 690, 342, 113
3 345, 171, 113
115, 57, 113

∴ So the LCM of the given numbers is 2 x 3 x 115 x 57 x 113 = 4444290

Least Common Multiple of 690,342,113 with GCF Formula

Least Common Multiple of 690,342,113 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 690,342,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,342,113) = 1

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

GCF(690,342,113) x common factors =1 x 6 = 6

LCM(690,342,113) = ( 690 × 342 × 113 ) / 6

LCM(690,342,113) = 26665740 / 6

LCM(690,342,113) = 4444290


Lets's calculate GCF of 152,742,396

2 152, 742, 396
76, 371, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4444290/2

Therefore the LCM of Fractions 690/152,342/742,113/396 is 2222145

Greatest Common Factor of 152,742,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,742,396 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 152,742,396 . The biggest common factor number is the GCF number.
So the greatest common factor 152,742,396 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 690/152, 342/742, 113/396

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 690/152, 342/742, 113/396?

Answer: LCM of Numerators as per given numbers 690/152, 342/742, 113/396 is

LCM of Numerators i.e. for 690,342,113 is 4444290

GCF of denominators i.e. for 152,742,396 is 2.

Thus, LCM of Fractions is 2222145.Finally, LCM of Fractions for 690/152, 342/742, 113/396 is 2222145.