Least Common Multiple of 90/98, 44/38, 16/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/98, 44/38, 16/185 quickly i.e. 7920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/98, 44/38, 16/185 is 7920.

LCM(90/98, 44/38, 16/185) = 7920

LCM of 90/98, 44/38, 16/185

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 90/98,44/38,16/185

Given numbers are 90/98,44/38,16/185

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 90,44,16

Least Common Multiple of Numerators i.e. LCM of 90,44,16 is 7920.

GCF of Denominators means GCF of 98,38,185 as per the given fractions.

GCF of 98,38,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,44,16

LCM of Fractions 90/98,44/38,16/185 is 7920

2 90, 44, 16
2 45, 22, 8
45, 11, 4

∴ So the LCM of the given numbers is 2 x 2 x 45 x 11 x 4 = 7920

Least Common Multiple of 90,44,16 with GCF Formula

Least Common Multiple of 90,44,16 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 90,44,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,44,16) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(90,44,16) x common factors =2 x 4 = 8

LCM(90,44,16) = ( 90 × 44 × 16 ) / 8

LCM(90,44,16) = 63360 / 8

LCM(90,44,16) = 7920


Lets's calculate GCF of 98,38,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7920/1

Therefore the LCM of Fractions 90/98,44/38,16/185 is 7920

Greatest Common Factor of 98,38,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,38,185 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 38

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

1,2,19,38

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 98,38,185 . The biggest common factor number is the GCF number.
So the greatest common factor 98,38,185 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 90/98, 44/38, 16/185

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 90/98, 44/38, 16/185?

Answer: LCM of Numerators as per given numbers 90/98, 44/38, 16/185 is

LCM of Numerators i.e. for 90,44,16 is 7920

GCF of denominators i.e. for 98,38,185 is 1.

Thus, LCM of Fractions is 7920.Finally, LCM of Fractions for 90/98, 44/38, 16/185 is 7920.