Least Common Multiple of 709/51, 565/25, 329/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 709/51, 565/25, 329/102 quickly i.e. 131792465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/51, 565/25, 329/102 is 131792465.

LCM(709/51, 565/25, 329/102) = 131792465

LCM of 709/51, 565/25, 329/102

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 709/51,565/25,329/102

Given numbers are 709/51,565/25,329/102

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 709,565,329

Least Common Multiple of Numerators i.e. LCM of 709,565,329 is 131792465.

GCF of Denominators means GCF of 51,25,102 as per the given fractions.

GCF of 51,25,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,565,329

LCM of Fractions 709/51,565/25,329/102 is 131792465

Given numbers has no common factors except 1. So, there LCM is their product i.e 131792465

Least Common Multiple of 709,565,329 with GCF Formula

Least Common Multiple of 709,565,329 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 709,565,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,565,329) = 1

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

GCF(709,565,329) x common factors =1 x 1 = 1

LCM(709,565,329) = ( 709 × 565 × 329 ) / 1

LCM(709,565,329) = 131792465 / 1

LCM(709,565,329) = 131792465


Lets's calculate GCF of 51,25,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131792465/1

Therefore the LCM of Fractions 709/51,565/25,329/102 is 131792465

Greatest Common Factor of 51,25,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,25,102 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 51,25,102 . The biggest common factor number is the GCF number.
So the greatest common factor 51,25,102 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 709/51, 565/25, 329/102

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 709/51, 565/25, 329/102?

Answer: LCM of Numerators as per given numbers 709/51, 565/25, 329/102 is

LCM of Numerators i.e. for 709,565,329 is 131792465

GCF of denominators i.e. for 51,25,102 is 1.

Thus, LCM of Fractions is 131792465.Finally, LCM of Fractions for 709/51, 565/25, 329/102 is 131792465.