Least Common Multiple of 652/68, 282/65, 754/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 652/68, 282/65, 754/90 quickly i.e. 34658364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/68, 282/65, 754/90 is 34658364.

LCM(652/68, 282/65, 754/90) = 34658364

LCM of 652/68, 282/65, 754/90

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 652/68,282/65,754/90

Given numbers are 652/68,282/65,754/90

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 652,282,754

Least Common Multiple of Numerators i.e. LCM of 652,282,754 is 34658364.

GCF of Denominators means GCF of 68,65,90 as per the given fractions.

GCF of 68,65,90 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,282,754

LCM of Fractions 652/68,282/65,754/90 is 34658364

2 652, 282, 754
326, 141, 377

∴ So the LCM of the given numbers is 2 x 326 x 141 x 377 = 34658364

Least Common Multiple of 652,282,754 with GCF Formula

Least Common Multiple of 652,282,754 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 652,282,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,282,754) = 2

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

GCF(652,282,754) x common factors =2 x 2 = 4

LCM(652,282,754) = ( 652 × 282 × 754 ) / 4

LCM(652,282,754) = 138633456 / 4

LCM(652,282,754) = 34658364


Lets's calculate GCF of 68,65,90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34658364/1

Therefore the LCM of Fractions 652/68,282/65,754/90 is 34658364

Greatest Common Factor of 68,65,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,65,90 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 68,65,90 . The biggest common factor number is the GCF number.
So the greatest common factor 68,65,90 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 652/68, 282/65, 754/90

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 652/68, 282/65, 754/90?

Answer: LCM of Numerators as per given numbers 652/68, 282/65, 754/90 is

LCM of Numerators i.e. for 652,282,754 is 34658364

GCF of denominators i.e. for 68,65,90 is 1.

Thus, LCM of Fractions is 34658364.Finally, LCM of Fractions for 652/68, 282/65, 754/90 is 34658364.