Least Common Multiple of 64/46, 774/18, 300/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/46, 774/18, 300/570 quickly i.e. 309600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/46, 774/18, 300/570 is 309600.

LCM(64/46, 774/18, 300/570) = 309600

LCM of 64/46, 774/18, 300/570

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 64/46,774/18,300/570

Given numbers are 64/46,774/18,300/570

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 64,774,300

Least Common Multiple of Numerators i.e. LCM of 64,774,300 is 619200.

GCF of Denominators means GCF of 46,18,570 as per the given fractions.

GCF of 46,18,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,774,300

LCM of Fractions 64/46,774/18,300/570 is 309600

2 64, 774, 300
2 32, 387, 150
3 16, 387, 75
16, 129, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 129 x 25 = 619200

Least Common Multiple of 64,774,300 with GCF Formula

Least Common Multiple of 64,774,300 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 64,774,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,774,300) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(64,774,300) x common factors =2 x 12 = 24

LCM(64,774,300) = ( 64 × 774 × 300 ) / 24

LCM(64,774,300) = 14860800 / 24

LCM(64,774,300) = 619200


Lets's calculate GCF of 46,18,570

2 46, 18, 570
23, 9, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619200/2

Therefore the LCM of Fractions 64/46,774/18,300/570 is 309600

Greatest Common Factor of 46,18,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,18,570 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 46,18,570 . The biggest common factor number is the GCF number.
So the greatest common factor 46,18,570 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 64/46, 774/18, 300/570

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 64/46, 774/18, 300/570?

Answer: LCM of Numerators as per given numbers 64/46, 774/18, 300/570 is

LCM of Numerators i.e. for 64,774,300 is 619200

GCF of denominators i.e. for 46,18,570 is 2.

Thus, LCM of Fractions is 309600.Finally, LCM of Fractions for 64/46, 774/18, 300/570 is 309600.