Least Common Multiple of 544/829, 608/964, 717/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/829, 608/964, 717/709 quickly i.e. 7410912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/829, 608/964, 717/709 is 7410912.

LCM(544/829, 608/964, 717/709) = 7410912

LCM of 544/829, 608/964, 717/709

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 544/829,608/964,717/709

Given numbers are 544/829,608/964,717/709

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 544,608,717

Least Common Multiple of Numerators i.e. LCM of 544,608,717 is 7410912.

GCF of Denominators means GCF of 829,964,709 as per the given fractions.

GCF of 829,964,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,608,717

LCM of Fractions 544/829,608/964,717/709 is 7410912

2 544, 608, 717
2 272, 304, 717
2 136, 152, 717
2 68, 76, 717
2 34, 38, 717
17, 19, 717

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 17 x 19 x 717 = 7410912

Least Common Multiple of 544,608,717 with GCF Formula

Least Common Multiple of 544,608,717 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 544,608,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,608,717) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(544,608,717) x common factors =1 x 32 = 32

LCM(544,608,717) = ( 544 × 608 × 717 ) / 32

LCM(544,608,717) = 237149184 / 32

LCM(544,608,717) = 7410912


Lets's calculate GCF of 829,964,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7410912/1

Therefore the LCM of Fractions 544/829,608/964,717/709 is 7410912

Greatest Common Factor of 829,964,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,964,709 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 829,964,709 . The biggest common factor number is the GCF number.
So the greatest common factor 829,964,709 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 544/829, 608/964, 717/709

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 544/829, 608/964, 717/709?

Answer: LCM of Numerators as per given numbers 544/829, 608/964, 717/709 is

LCM of Numerators i.e. for 544,608,717 is 7410912

GCF of denominators i.e. for 829,964,709 is 1.

Thus, LCM of Fractions is 7410912.Finally, LCM of Fractions for 544/829, 608/964, 717/709 is 7410912.