Least Common Multiple of 540/659, 398/704, 670/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/659, 398/704, 670/807 quickly i.e. 7199820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/659, 398/704, 670/807 is 7199820.

LCM(540/659, 398/704, 670/807) = 7199820

LCM of 540/659, 398/704, 670/807

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 540/659,398/704,670/807

Given numbers are 540/659,398/704,670/807

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 540,398,670

Least Common Multiple of Numerators i.e. LCM of 540,398,670 is 7199820.

GCF of Denominators means GCF of 659,704,807 as per the given fractions.

GCF of 659,704,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,398,670

LCM of Fractions 540/659,398/704,670/807 is 7199820

2 540, 398, 670
5 270, 199, 335
54, 199, 67

∴ So the LCM of the given numbers is 2 x 5 x 54 x 199 x 67 = 7199820

Least Common Multiple of 540,398,670 with GCF Formula

Least Common Multiple of 540,398,670 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 540,398,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,398,670) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(540,398,670) x common factors =2 x 10 = 20

LCM(540,398,670) = ( 540 × 398 × 670 ) / 20

LCM(540,398,670) = 143996400 / 20

LCM(540,398,670) = 7199820


Lets's calculate GCF of 659,704,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7199820/1

Therefore the LCM of Fractions 540/659,398/704,670/807 is 7199820

Greatest Common Factor of 659,704,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,704,807 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 659,704,807 . The biggest common factor number is the GCF number.
So the greatest common factor 659,704,807 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 540/659, 398/704, 670/807

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 540/659, 398/704, 670/807?

Answer: LCM of Numerators as per given numbers 540/659, 398/704, 670/807 is

LCM of Numerators i.e. for 540,398,670 is 7199820

GCF of denominators i.e. for 659,704,807 is 1.

Thus, LCM of Fractions is 7199820.Finally, LCM of Fractions for 540/659, 398/704, 670/807 is 7199820.