Least Common Multiple of 636/590, 598/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/590, 598/980 quickly i.e. 190164/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/590, 598/980 is 190164/10.

LCM(636/590, 598/980) = 190164/10

LCM of 636/590, 598/980

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 636/590,598/980

Given numbers are 636/590,598/980

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 636,598

Least Common Multiple of Numerators i.e. LCM of 636,598 is 190164.

GCF of Denominators means GCF of 590,980 as per the given fractions.

GCF of 590,980 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,598

LCM of Fractions 636/590,598/980 is 190164/10

2 636, 598
318, 299

∴ So the LCM of the given numbers is 2 x 318 x 299 = 190164

Least Common Multiple of 636,598 with GCF Formula

Least Common Multiple of 636,598 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 636,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,598) = 2

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

GCF(636,598) x common factors =2 x 1 = 2

LCM(636,598) = ( 636 × 598 ) / 2

LCM(636,598) = 380328 / 2

LCM(636,598) = 190164


Lets's calculate GCF of 590,980

2 590, 980
5 295, 490
59, 98

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190164/10

Therefore the LCM of Fractions 636/590,598/980 is 190164/10

Greatest Common Factor of 590,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,980 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 590,980 . The biggest common factor number is the GCF number.
So the greatest common factor 590,980 is 10.


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 636/590, 598/980

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 636/590, 598/980?

Answer: LCM of Numerators as per given numbers 636/590, 598/980 is

LCM of Numerators i.e. for 636,598 is 190164

GCF of denominators i.e. for 590,980 is 10.

Thus, LCM of Fractions is 190164/10.Finally, LCM of Fractions for 636/590, 598/980 is 190164/10.