Least Common Multiple of 34/38, 443/25, 765/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/38, 443/25, 765/584 quickly i.e. 677790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/38, 443/25, 765/584 is 677790.

LCM(34/38, 443/25, 765/584) = 677790

LCM of 34/38, 443/25, 765/584

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 34/38,443/25,765/584

Given numbers are 34/38,443/25,765/584

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 34,443,765

Least Common Multiple of Numerators i.e. LCM of 34,443,765 is 677790.

GCF of Denominators means GCF of 38,25,584 as per the given fractions.

GCF of 38,25,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,443,765

LCM of Fractions 34/38,443/25,765/584 is 677790

17 34, 443, 765
2, 443, 45

∴ So the LCM of the given numbers is 17 x 2 x 443 x 45 = 677790

Least Common Multiple of 34,443,765 with GCF Formula

Least Common Multiple of 34,443,765 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 34,443,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,443,765) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(34,443,765) x common factors =1 x 17 = 17

LCM(34,443,765) = ( 34 × 443 × 765 ) / 17

LCM(34,443,765) = 11522430 / 17

LCM(34,443,765) = 677790


Lets's calculate GCF of 38,25,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677790/1

Therefore the LCM of Fractions 34/38,443/25,765/584 is 677790

Greatest Common Factor of 38,25,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,25,584 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 38,25,584 . The biggest common factor number is the GCF number.
So the greatest common factor 38,25,584 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 34/38, 443/25, 765/584

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 34/38, 443/25, 765/584?

Answer: LCM of Numerators as per given numbers 34/38, 443/25, 765/584 is

LCM of Numerators i.e. for 34,443,765 is 677790

GCF of denominators i.e. for 38,25,584 is 1.

Thus, LCM of Fractions is 677790.Finally, LCM of Fractions for 34/38, 443/25, 765/584 is 677790.