Least Common Multiple of 432/700, 699/645, 558/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/700, 699/645, 558/965 quickly i.e. 3120336/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/700, 699/645, 558/965 is 3120336/5.

LCM(432/700, 699/645, 558/965) = 3120336/5

LCM of 432/700, 699/645, 558/965

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 432/700,699/645,558/965

Given numbers are 432/700,699/645,558/965

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 432,699,558

Least Common Multiple of Numerators i.e. LCM of 432,699,558 is 3120336.

GCF of Denominators means GCF of 700,645,965 as per the given fractions.

GCF of 700,645,965 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,699,558

LCM of Fractions 432/700,699/645,558/965 is 3120336/5

2 432, 699, 558
3 216, 699, 279
3 72, 233, 93
24, 233, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 24 x 233 x 31 = 3120336

Least Common Multiple of 432,699,558 with GCF Formula

Least Common Multiple of 432,699,558 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 432,699,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,699,558) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(432,699,558) x common factors =3 x 18 = 54

LCM(432,699,558) = ( 432 × 699 × 558 ) / 54

LCM(432,699,558) = 168498144 / 54

LCM(432,699,558) = 3120336


Lets's calculate GCF of 700,645,965

5 700, 645, 965
140, 129, 193

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120336/5

Therefore the LCM of Fractions 432/700,699/645,558/965 is 3120336/5

Greatest Common Factor of 700,645,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,645,965 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 700,645,965 . The biggest common factor number is the GCF number.
So the greatest common factor 700,645,965 is 5.


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 432/700, 699/645, 558/965

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 432/700, 699/645, 558/965?

Answer: LCM of Numerators as per given numbers 432/700, 699/645, 558/965 is

LCM of Numerators i.e. for 432,699,558 is 3120336

GCF of denominators i.e. for 700,645,965 is 5.

Thus, LCM of Fractions is 3120336/5.Finally, LCM of Fractions for 432/700, 699/645, 558/965 is 3120336/5.