Least Common Multiple of 98/563, 3700/5970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/563, 3700/5970 quickly i.e. 181300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/563, 3700/5970 is 181300.

LCM(98/563, 3700/5970) = 181300

LCM of 98/563, 3700/5970

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 98/563,3700/5970

Given numbers are 98/563,3700/5970

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 98,3700

Least Common Multiple of Numerators i.e. LCM of 98,3700 is 181300.

GCF of Denominators means GCF of 563,5970 as per the given fractions.

GCF of 563,5970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,3700

LCM of Fractions 98/563,3700/5970 is 181300

2 98, 3700
49, 1850

∴ So the LCM of the given numbers is 2 x 49 x 1850 = 181300

Least Common Multiple of 98,3700 with GCF Formula

Least Common Multiple of 98,3700 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 98,3700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,3700) = 2

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

GCF(98,3700) x common factors =2 x 1 = 2

LCM(98,3700) = ( 98 × 3700 ) / 2

LCM(98,3700) = 362600 / 2

LCM(98,3700) = 181300


Lets's calculate GCF of 563,5970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181300/1

Therefore the LCM of Fractions 98/563,3700/5970 is 181300

Greatest Common Factor of 563,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,5970 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 563,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 563,5970 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 98/563, 3700/5970

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 98/563, 3700/5970?

Answer: LCM of Numerators as per given numbers 98/563, 3700/5970 is

LCM of Numerators i.e. for 98,3700 is 181300

GCF of denominators i.e. for 563,5970 is 1.

Thus, LCM of Fractions is 181300.Finally, LCM of Fractions for 98/563, 3700/5970 is 181300.