Least Common Multiple of 707/32, 600/30, 760/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 707/32, 600/30, 760/464 quickly i.e. 4029900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/32, 600/30, 760/464 is 4029900.

LCM(707/32, 600/30, 760/464) = 4029900

LCM of 707/32, 600/30, 760/464

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 707/32,600/30,760/464

Given numbers are 707/32,600/30,760/464

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 707,600,760

Least Common Multiple of Numerators i.e. LCM of 707,600,760 is 8059800.

GCF of Denominators means GCF of 32,30,464 as per the given fractions.

GCF of 32,30,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,600,760

LCM of Fractions 707/32,600/30,760/464 is 4029900

2 707, 600, 760
2 707, 300, 380
2 707, 150, 190
5 707, 75, 95
707, 15, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 707 x 15 x 19 = 8059800

Least Common Multiple of 707,600,760 with GCF Formula

Least Common Multiple of 707,600,760 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 707,600,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,600,760) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(707,600,760) x common factors =1 x 40 = 40

LCM(707,600,760) = ( 707 × 600 × 760 ) / 40

LCM(707,600,760) = 322392000 / 40

LCM(707,600,760) = 8059800


Lets's calculate GCF of 32,30,464

2 32, 30, 464
16, 15, 232

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8059800/2

Therefore the LCM of Fractions 707/32,600/30,760/464 is 4029900

Greatest Common Factor of 32,30,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,30,464 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 32,30,464 . The biggest common factor number is the GCF number.
So the greatest common factor 32,30,464 is 2.


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 707/32, 600/30, 760/464

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 707/32, 600/30, 760/464?

Answer: LCM of Numerators as per given numbers 707/32, 600/30, 760/464 is

LCM of Numerators i.e. for 707,600,760 is 8059800

GCF of denominators i.e. for 32,30,464 is 2.

Thus, LCM of Fractions is 4029900.Finally, LCM of Fractions for 707/32, 600/30, 760/464 is 4029900.