Least Common Multiple of 72/446, 35/823, 964/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/446, 35/823, 964/628 quickly i.e. 607320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/446, 35/823, 964/628 is 607320.

LCM(72/446, 35/823, 964/628) = 607320

LCM of 72/446, 35/823, 964/628

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 72/446,35/823,964/628

Given numbers are 72/446,35/823,964/628

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 72,35,964

Least Common Multiple of Numerators i.e. LCM of 72,35,964 is 607320.

GCF of Denominators means GCF of 446,823,628 as per the given fractions.

GCF of 446,823,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,35,964

LCM of Fractions 72/446,35/823,964/628 is 607320

2 72, 35, 964
2 36, 35, 482
18, 35, 241

∴ So the LCM of the given numbers is 2 x 2 x 18 x 35 x 241 = 607320

Least Common Multiple of 72,35,964 with GCF Formula

Least Common Multiple of 72,35,964 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 72,35,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,35,964) = 1

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

GCF(72,35,964) x common factors =1 x 4 = 4

LCM(72,35,964) = ( 72 × 35 × 964 ) / 4

LCM(72,35,964) = 2429280 / 4

LCM(72,35,964) = 607320


Lets's calculate GCF of 446,823,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607320/1

Therefore the LCM of Fractions 72/446,35/823,964/628 is 607320

Greatest Common Factor of 446,823,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,823,628 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 446,823,628 . The biggest common factor number is the GCF number.
So the greatest common factor 446,823,628 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 72/446, 35/823, 964/628

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 72/446, 35/823, 964/628?

Answer: LCM of Numerators as per given numbers 72/446, 35/823, 964/628 is

LCM of Numerators i.e. for 72,35,964 is 607320

GCF of denominators i.e. for 446,823,628 is 1.

Thus, LCM of Fractions is 607320.Finally, LCM of Fractions for 72/446, 35/823, 964/628 is 607320.