Least Common Multiple of 44/64, 420/20, 308/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/64, 420/20, 308/306 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/64, 420/20, 308/306 is 2310.

LCM(44/64, 420/20, 308/306) = 2310

LCM of 44/64, 420/20, 308/306

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 44/64,420/20,308/306

Given numbers are 44/64,420/20,308/306

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 44,420,308

Least Common Multiple of Numerators i.e. LCM of 44,420,308 is 4620.

GCF of Denominators means GCF of 64,20,306 as per the given fractions.

GCF of 64,20,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,420,308

LCM of Fractions 44/64,420/20,308/306 is 2310

2 44, 420, 308
2 22, 210, 154
7 11, 105, 77
11 11, 15, 11
1, 15, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 1 x 15 x 1 = 4620

Least Common Multiple of 44,420,308 with GCF Formula

Least Common Multiple of 44,420,308 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 44,420,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,420,308) = 4

common factors(in case of two or more numbers have common factors) = 308

GCF(44,420,308) x common factors =4 x 308 = 1232

LCM(44,420,308) = ( 44 × 420 × 308 ) / 1232

LCM(44,420,308) = 5691840 / 1232

LCM(44,420,308) = 4620


Lets's calculate GCF of 64,20,306

2 64, 20, 306
32, 10, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/2

Therefore the LCM of Fractions 44/64,420/20,308/306 is 2310

Greatest Common Factor of 64,20,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,20,306 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 64,20,306 . The biggest common factor number is the GCF number.
So the greatest common factor 64,20,306 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 44/64, 420/20, 308/306

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 44/64, 420/20, 308/306?

Answer: LCM of Numerators as per given numbers 44/64, 420/20, 308/306 is

LCM of Numerators i.e. for 44,420,308 is 4620

GCF of denominators i.e. for 64,20,306 is 2.

Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 44/64, 420/20, 308/306 is 2310.