Least Common Multiple of 64/34, 41/30, 684/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/34, 41/30, 684/598 quickly i.e. 224352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/34, 41/30, 684/598 is 224352.

LCM(64/34, 41/30, 684/598) = 224352

LCM of 64/34, 41/30, 684/598

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 64/34,41/30,684/598

Given numbers are 64/34,41/30,684/598

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 64,41,684

Least Common Multiple of Numerators i.e. LCM of 64,41,684 is 448704.

GCF of Denominators means GCF of 34,30,598 as per the given fractions.

GCF of 34,30,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,41,684

LCM of Fractions 64/34,41/30,684/598 is 224352

2 64, 41, 684
2 32, 41, 342
16, 41, 171

∴ So the LCM of the given numbers is 2 x 2 x 16 x 41 x 171 = 448704

Least Common Multiple of 64,41,684 with GCF Formula

Least Common Multiple of 64,41,684 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 64,41,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,41,684) = 1

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

GCF(64,41,684) x common factors =1 x 4 = 4

LCM(64,41,684) = ( 64 × 41 × 684 ) / 4

LCM(64,41,684) = 1794816 / 4

LCM(64,41,684) = 448704


Lets's calculate GCF of 34,30,598

2 34, 30, 598
17, 15, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448704/2

Therefore the LCM of Fractions 64/34,41/30,684/598 is 224352

Greatest Common Factor of 34,30,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,30,598 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 34,30,598 . The biggest common factor number is the GCF number.
So the greatest common factor 34,30,598 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 64/34, 41/30, 684/598

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 64/34, 41/30, 684/598?

Answer: LCM of Numerators as per given numbers 64/34, 41/30, 684/598 is

LCM of Numerators i.e. for 64,41,684 is 448704

GCF of denominators i.e. for 34,30,598 is 2.

Thus, LCM of Fractions is 224352.Finally, LCM of Fractions for 64/34, 41/30, 684/598 is 224352.