Least Common Multiple of 98/394, 59/210, 249/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/394, 59/210, 249/536 quickly i.e. 719859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/394, 59/210, 249/536 is 719859.

LCM(98/394, 59/210, 249/536) = 719859

LCM of 98/394, 59/210, 249/536

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 98/394,59/210,249/536

Given numbers are 98/394,59/210,249/536

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 98,59,249

Least Common Multiple of Numerators i.e. LCM of 98,59,249 is 1439718.

GCF of Denominators means GCF of 394,210,536 as per the given fractions.

GCF of 394,210,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,59,249

LCM of Fractions 98/394,59/210,249/536 is 719859

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439718

Least Common Multiple of 98,59,249 with GCF Formula

Least Common Multiple of 98,59,249 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 98,59,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,59,249) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(98,59,249) x common factors =1 x 1 = 1

LCM(98,59,249) = ( 98 × 59 × 249 ) / 1

LCM(98,59,249) = 1439718 / 1

LCM(98,59,249) = 1439718


Lets's calculate GCF of 394,210,536

2 394, 210, 536
197, 105, 268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1439718/2

Therefore the LCM of Fractions 98/394,59/210,249/536 is 719859

Greatest Common Factor of 394,210,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,210,536 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 394,210,536 . The biggest common factor number is the GCF number.
So the greatest common factor 394,210,536 is 2.


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 98/394, 59/210, 249/536

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 98/394, 59/210, 249/536?

Answer: LCM of Numerators as per given numbers 98/394, 59/210, 249/536 is

LCM of Numerators i.e. for 98,59,249 is 1439718

GCF of denominators i.e. for 394,210,536 is 2.

Thus, LCM of Fractions is 719859.Finally, LCM of Fractions for 98/394, 59/210, 249/536 is 719859.