Least Common Multiple of 329/62, 704/45, 114/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/62, 704/45, 114/509 quickly i.e. 13202112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/62, 704/45, 114/509 is 13202112.

LCM(329/62, 704/45, 114/509) = 13202112

LCM of 329/62, 704/45, 114/509

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 329/62,704/45,114/509

Given numbers are 329/62,704/45,114/509

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 329,704,114

Least Common Multiple of Numerators i.e. LCM of 329,704,114 is 13202112.

GCF of Denominators means GCF of 62,45,509 as per the given fractions.

GCF of 62,45,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,704,114

LCM of Fractions 329/62,704/45,114/509 is 13202112

2 329, 704, 114
329, 352, 57

∴ So the LCM of the given numbers is 2 x 329 x 352 x 57 = 13202112

Least Common Multiple of 329,704,114 with GCF Formula

Least Common Multiple of 329,704,114 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 329,704,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,704,114) = 1

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

GCF(329,704,114) x common factors =1 x 2 = 2

LCM(329,704,114) = ( 329 × 704 × 114 ) / 2

LCM(329,704,114) = 26404224 / 2

LCM(329,704,114) = 13202112


Lets's calculate GCF of 62,45,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13202112/1

Therefore the LCM of Fractions 329/62,704/45,114/509 is 13202112

Greatest Common Factor of 62,45,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,45,509 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 62,45,509 . The biggest common factor number is the GCF number.
So the greatest common factor 62,45,509 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 329/62, 704/45, 114/509

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 329/62, 704/45, 114/509?

Answer: LCM of Numerators as per given numbers 329/62, 704/45, 114/509 is

LCM of Numerators i.e. for 329,704,114 is 13202112

GCF of denominators i.e. for 62,45,509 is 1.

Thus, LCM of Fractions is 13202112.Finally, LCM of Fractions for 329/62, 704/45, 114/509 is 13202112.