Least Common Multiple of 48/98, 10/26, 25/60, 20/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/98, 10/26, 25/60, 20/482 quickly i.e. 600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/98, 10/26, 25/60, 20/482 is 600.

LCM(48/98, 10/26, 25/60, 20/482) = 600

LCM of 48/98, 10/26, 25/60, 20/482

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 48/98,10/26,25/60,20/482

Given numbers are 48/98,10/26,25/60,20/482

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 48,10,25,20

Least Common Multiple of Numerators i.e. LCM of 48,10,25,20 is 1200.

GCF of Denominators means GCF of 98,26,60,482 as per the given fractions.

GCF of 98,26,60,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,10,25,20

LCM of Fractions 48/98,10/26,25/60,20/482 is 600

2 48, 10, 25, 20
2 24, 5, 25, 10
5 12, 5, 25, 5
12, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 12 x 1 x 1 x 5 = 1200

Least Common Multiple of 48,10,25,20 with GCF Formula

Least Common Multiple of 48,10,25,20 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 48,10,25,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,10,25,20) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(48,10,25,20) x common factors =1 x 200 = 200

LCM(48,10,25,20) = ( 48 × 10 × 25 × 20 ) / 200

LCM(48,10,25,20) = 240000 / 200

LCM(48,10,25,20) = 1200


Lets's calculate GCF of 98,26,60,482

2 98, 26, 60, 482
49, 13, 30, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200/2

Therefore the LCM of Fractions 48/98,10/26,25/60,20/482 is 600

Greatest Common Factor of 98,26,60,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,26,60,482 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 98,26,60,482 . The biggest common factor number is the GCF number.
So the greatest common factor 98,26,60,482 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/98, 10/26, 25/60, 20/482

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 48/98, 10/26, 25/60, 20/482?

Answer: LCM of Numerators as per given numbers 48/98, 10/26, 25/60, 20/482 is

LCM of Numerators i.e. for 48,10,25,20 is 1200

GCF of denominators i.e. for 98,26,60,482 is 2.

Thus, LCM of Fractions is 600.Finally, LCM of Fractions for 48/98, 10/26, 25/60, 20/482 is 600.