Least Common Multiple of 306/35, 544/3520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/35, 544/3520 quickly i.e. 4896/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/35, 544/3520 is 4896/5.

LCM(306/35, 544/3520) = 4896/5

LCM of 306/35, 544/3520

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 306/35,544/3520

Given numbers are 306/35,544/3520

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 306,544

Least Common Multiple of Numerators i.e. LCM of 306,544 is 4896.

GCF of Denominators means GCF of 35,3520 as per the given fractions.

GCF of 35,3520 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,544

LCM of Fractions 306/35,544/3520 is 4896/5

2 306, 544
17 153, 272
9, 16

∴ So the LCM of the given numbers is 2 x 17 x 9 x 16 = 4896

Least Common Multiple of 306,544 with GCF Formula

Least Common Multiple of 306,544 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 306,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,544) = 34

common factors(in case of two or more numbers have common factors) = 1

GCF(306,544) x common factors =34 x 1 = 34

LCM(306,544) = ( 306 × 544 ) / 34

LCM(306,544) = 166464 / 34

LCM(306,544) = 4896


Lets's calculate GCF of 35,3520

5 35, 3520
7, 704

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4896/5

Therefore the LCM of Fractions 306/35,544/3520 is 4896/5

Greatest Common Factor of 35,3520 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,3520 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors 35,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 35,3520 is 5.


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 306/35, 544/3520

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 306/35, 544/3520?

Answer: LCM of Numerators as per given numbers 306/35, 544/3520 is

LCM of Numerators i.e. for 306,544 is 4896

GCF of denominators i.e. for 35,3520 is 5.

Thus, LCM of Fractions is 4896/5.Finally, LCM of Fractions for 306/35, 544/3520 is 4896/5.