Least Common Multiple of 16/24, 49/38, 90/77, 72/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/24, 49/38, 90/77, 72/535 quickly i.e. 35280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/24, 49/38, 90/77, 72/535 is 35280.

LCM(16/24, 49/38, 90/77, 72/535) = 35280

LCM of 16/24, 49/38, 90/77, 72/535

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 16/24,49/38,90/77,72/535

Given numbers are 16/24,49/38,90/77,72/535

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 16,49,90,72

Least Common Multiple of Numerators i.e. LCM of 16,49,90,72 is 35280.

GCF of Denominators means GCF of 24,38,77,535 as per the given fractions.

GCF of 24,38,77,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,49,90,72

LCM of Fractions 16/24,49/38,90/77,72/535 is 35280

2 16, 49, 90, 72
2 8, 49, 45, 36
2 4, 49, 45, 18
3 2, 49, 45, 9
3 2, 49, 15, 3
2, 49, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 49 x 5 x 1 = 35280

Least Common Multiple of 16,49,90,72 with GCF Formula

Least Common Multiple of 16,49,90,72 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 16,49,90,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,49,90,72) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(16,49,90,72) x common factors =1 x 144 = 144

LCM(16,49,90,72) = ( 16 × 49 × 90 × 72 ) / 144

LCM(16,49,90,72) = 5080320 / 144

LCM(16,49,90,72) = 35280


Lets's calculate GCF of 24,38,77,535

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35280/1

Therefore the LCM of Fractions 16/24,49/38,90/77,72/535 is 35280

Greatest Common Factor of 24,38,77,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,38,77,535 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 24,38,77,535 . The biggest common factor number is the GCF number.
So the greatest common factor 24,38,77,535 is 1.


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 16/24, 49/38, 90/77, 72/535

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 16/24, 49/38, 90/77, 72/535?

Answer: LCM of Numerators as per given numbers 16/24, 49/38, 90/77, 72/535 is

LCM of Numerators i.e. for 16,49,90,72 is 35280

GCF of denominators i.e. for 24,38,77,535 is 1.

Thus, LCM of Fractions is 35280.Finally, LCM of Fractions for 16/24, 49/38, 90/77, 72/535 is 35280.