Least Common Multiple of 69/647, 56/734, 620/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/647, 56/734, 620/398 quickly i.e. 598920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/647, 56/734, 620/398 is 598920.

LCM(69/647, 56/734, 620/398) = 598920

LCM of 69/647, 56/734, 620/398

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 69/647,56/734,620/398

Given numbers are 69/647,56/734,620/398

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 69,56,620

Least Common Multiple of Numerators i.e. LCM of 69,56,620 is 598920.

GCF of Denominators means GCF of 647,734,398 as per the given fractions.

GCF of 647,734,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,56,620

LCM of Fractions 69/647,56/734,620/398 is 598920

2 69, 56, 620
2 69, 28, 310
69, 14, 155

∴ So the LCM of the given numbers is 2 x 2 x 69 x 14 x 155 = 598920

Least Common Multiple of 69,56,620 with GCF Formula

Least Common Multiple of 69,56,620 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 69,56,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,56,620) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(69,56,620) x common factors =1 x 4 = 4

LCM(69,56,620) = ( 69 × 56 × 620 ) / 4

LCM(69,56,620) = 2395680 / 4

LCM(69,56,620) = 598920


Lets's calculate GCF of 647,734,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598920/1

Therefore the LCM of Fractions 69/647,56/734,620/398 is 598920

Greatest Common Factor of 647,734,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,734,398 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 647,734,398 . The biggest common factor number is the GCF number.
So the greatest common factor 647,734,398 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 69/647, 56/734, 620/398

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 69/647, 56/734, 620/398?

Answer: LCM of Numerators as per given numbers 69/647, 56/734, 620/398 is

LCM of Numerators i.e. for 69,56,620 is 598920

GCF of denominators i.e. for 647,734,398 is 1.

Thus, LCM of Fractions is 598920.Finally, LCM of Fractions for 69/647, 56/734, 620/398 is 598920.