Least Common Multiple of 35/16, 48/46, 55/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/16, 48/46, 55/648 quickly i.e. 9240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/16, 48/46, 55/648 is 9240.

LCM(35/16, 48/46, 55/648) = 9240

LCM of 35/16, 48/46, 55/648

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 35/16,48/46,55/648

Given numbers are 35/16,48/46,55/648

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 35,48,55

Least Common Multiple of Numerators i.e. LCM of 35,48,55 is 18480.

GCF of Denominators means GCF of 16,46,648 as per the given fractions.

GCF of 16,46,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,48,55

LCM of Fractions 35/16,48/46,55/648 is 9240

5 35, 48, 55
7, 48, 11

∴ So the LCM of the given numbers is 5 x 7 x 48 x 11 = 18480

Least Common Multiple of 35,48,55 with GCF Formula

Least Common Multiple of 35,48,55 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 35,48,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,48,55) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,48,55) x common factors =1 x 5 = 5

LCM(35,48,55) = ( 35 × 48 × 55 ) / 5

LCM(35,48,55) = 92400 / 5

LCM(35,48,55) = 18480


Lets's calculate GCF of 16,46,648

2 16, 46, 648
8, 23, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/2

Therefore the LCM of Fractions 35/16,48/46,55/648 is 9240

Greatest Common Factor of 16,46,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,46,648 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 46

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

1,2,23,46

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 16,46,648 . The biggest common factor number is the GCF number.
So the greatest common factor 16,46,648 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 35/16, 48/46, 55/648

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 35/16, 48/46, 55/648?

Answer: LCM of Numerators as per given numbers 35/16, 48/46, 55/648 is

LCM of Numerators i.e. for 35,48,55 is 18480

GCF of denominators i.e. for 16,46,648 is 2.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 35/16, 48/46, 55/648 is 9240.