Least Common Multiple of 64/786, 34/303, 393/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/786, 34/303, 393/306 quickly i.e. 142528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/786, 34/303, 393/306 is 142528.

LCM(64/786, 34/303, 393/306) = 142528

LCM of 64/786, 34/303, 393/306

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 64/786,34/303,393/306

Given numbers are 64/786,34/303,393/306

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 64,34,393

Least Common Multiple of Numerators i.e. LCM of 64,34,393 is 427584.

GCF of Denominators means GCF of 786,303,306 as per the given fractions.

GCF of 786,303,306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,34,393

LCM of Fractions 64/786,34/303,393/306 is 142528

2 64, 34, 393
32, 17, 393

∴ So the LCM of the given numbers is 2 x 32 x 17 x 393 = 427584

Least Common Multiple of 64,34,393 with GCF Formula

Least Common Multiple of 64,34,393 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 64,34,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,34,393) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,34,393) x common factors =1 x 2 = 2

LCM(64,34,393) = ( 64 × 34 × 393 ) / 2

LCM(64,34,393) = 855168 / 2

LCM(64,34,393) = 427584


Lets's calculate GCF of 786,303,306

3 786, 303, 306
262, 101, 102

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427584/3

Therefore the LCM of Fractions 64/786,34/303,393/306 is 142528

Greatest Common Factor of 786,303,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,303,306 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 786,303,306 . The biggest common factor number is the GCF number.
So the greatest common factor 786,303,306 is 3.


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 64/786, 34/303, 393/306

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 64/786, 34/303, 393/306?

Answer: LCM of Numerators as per given numbers 64/786, 34/303, 393/306 is

LCM of Numerators i.e. for 64,34,393 is 427584

GCF of denominators i.e. for 786,303,306 is 3.

Thus, LCM of Fractions is 142528.Finally, LCM of Fractions for 64/786, 34/303, 393/306 is 142528.