Least Common Multiple of 645/51, 734/1062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/51, 734/1062 quickly i.e. 157810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/51, 734/1062 is 157810.

LCM(645/51, 734/1062) = 157810

LCM of 645/51, 734/1062

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 645/51,734/1062

Given numbers are 645/51,734/1062

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 645,734

Least Common Multiple of Numerators i.e. LCM of 645,734 is 473430.

GCF of Denominators means GCF of 51,1062 as per the given fractions.

GCF of 51,1062 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,734

LCM of Fractions 645/51,734/1062 is 157810

Given numbers has no common factors except 1. So, there LCM is their product i.e 473430

Least Common Multiple of 645,734 with GCF Formula

Least Common Multiple of 645,734 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 645,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,734) = 1

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

GCF(645,734) x common factors =1 x 1 = 1

LCM(645,734) = ( 645 × 734 ) / 1

LCM(645,734) = 473430 / 1

LCM(645,734) = 473430


Lets's calculate GCF of 51,1062

3 51, 1062
17, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473430/3

Therefore the LCM of Fractions 645/51,734/1062 is 157810

Greatest Common Factor of 51,1062 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,1062 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1,2,3,6,9,18,59,118,177,354,531,1062

Greatest Common Factor

We found the factors 51,1062 . The biggest common factor number is the GCF number.
So the greatest common factor 51,1062 is 3.


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 645/51, 734/1062

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 645/51, 734/1062?

Answer: LCM of Numerators as per given numbers 645/51, 734/1062 is

LCM of Numerators i.e. for 645,734 is 473430

GCF of denominators i.e. for 51,1062 is 3.

Thus, LCM of Fractions is 157810.Finally, LCM of Fractions for 645/51, 734/1062 is 157810.