Least Common Multiple of 623/96, 739/32, 879/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/96, 739/32, 879/576 quickly i.e. 404688963/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/96, 739/32, 879/576 is 404688963/32.

LCM(623/96, 739/32, 879/576) = 404688963/32

LCM of 623/96, 739/32, 879/576

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 623/96,739/32,879/576

Given numbers are 623/96,739/32,879/576

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 623,739,879

Least Common Multiple of Numerators i.e. LCM of 623,739,879 is 404688963.

GCF of Denominators means GCF of 96,32,576 as per the given fractions.

GCF of 96,32,576 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,739,879

LCM of Fractions 623/96,739/32,879/576 is 404688963/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 404688963

Least Common Multiple of 623,739,879 with GCF Formula

Least Common Multiple of 623,739,879 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 623,739,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,739,879) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(623,739,879) x common factors =1 x 1 = 1

LCM(623,739,879) = ( 623 × 739 × 879 ) / 1

LCM(623,739,879) = 404688963 / 1

LCM(623,739,879) = 404688963


Lets's calculate GCF of 96,32,576

2 96, 32, 576
2 48, 16, 288
2 24, 8, 144
2 12, 4, 72
2 6, 2, 36
3, 1, 18

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404688963/32

Therefore the LCM of Fractions 623/96,739/32,879/576 is 404688963/32

Greatest Common Factor of 96,32,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,32,576 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 32

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

1,2,4,8,16,32

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 96,32,576 . The biggest common factor number is the GCF number.
So the greatest common factor 96,32,576 is 32.


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 623/96, 739/32, 879/576

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 623/96, 739/32, 879/576?

Answer: LCM of Numerators as per given numbers 623/96, 739/32, 879/576 is

LCM of Numerators i.e. for 623,739,879 is 404688963

GCF of denominators i.e. for 96,32,576 is 32.

Thus, LCM of Fractions is 404688963/32.Finally, LCM of Fractions for 623/96, 739/32, 879/576 is 404688963/32.