Least Common Multiple of 38/98, 54/32, 520/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/98, 54/32, 520/149 quickly i.e. 266760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/98, 54/32, 520/149 is 266760.

LCM(38/98, 54/32, 520/149) = 266760

LCM of 38/98, 54/32, 520/149

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 38/98,54/32,520/149

Given numbers are 38/98,54/32,520/149

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 38,54,520

Least Common Multiple of Numerators i.e. LCM of 38,54,520 is 266760.

GCF of Denominators means GCF of 98,32,149 as per the given fractions.

GCF of 98,32,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,54,520

LCM of Fractions 38/98,54/32,520/149 is 266760

2 38, 54, 520
19, 27, 260

∴ So the LCM of the given numbers is 2 x 19 x 27 x 260 = 266760

Least Common Multiple of 38,54,520 with GCF Formula

Least Common Multiple of 38,54,520 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 38,54,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,54,520) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(38,54,520) x common factors =2 x 2 = 4

LCM(38,54,520) = ( 38 × 54 × 520 ) / 4

LCM(38,54,520) = 1067040 / 4

LCM(38,54,520) = 266760


Lets's calculate GCF of 98,32,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266760/1

Therefore the LCM of Fractions 38/98,54/32,520/149 is 266760

Greatest Common Factor of 98,32,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,32,149 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 98,32,149 . The biggest common factor number is the GCF number.
So the greatest common factor 98,32,149 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 38/98, 54/32, 520/149

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 38/98, 54/32, 520/149?

Answer: LCM of Numerators as per given numbers 38/98, 54/32, 520/149 is

LCM of Numerators i.e. for 38,54,520 is 266760

GCF of denominators i.e. for 98,32,149 is 1.

Thus, LCM of Fractions is 266760.Finally, LCM of Fractions for 38/98, 54/32, 520/149 is 266760.