Least Common Multiple of 205/77, 630/5004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/77, 630/5004 quickly i.e. 25830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/77, 630/5004 is 25830.

LCM(205/77, 630/5004) = 25830

LCM of 205/77, 630/5004

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 205/77,630/5004

Given numbers are 205/77,630/5004

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 205,630

Least Common Multiple of Numerators i.e. LCM of 205,630 is 25830.

GCF of Denominators means GCF of 77,5004 as per the given fractions.

GCF of 77,5004 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,630

LCM of Fractions 205/77,630/5004 is 25830

5 205, 630
41, 126

∴ So the LCM of the given numbers is 5 x 41 x 126 = 25830

Least Common Multiple of 205,630 with GCF Formula

Least Common Multiple of 205,630 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 205,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,630) = 5

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

GCF(205,630) x common factors =5 x 1 = 5

LCM(205,630) = ( 205 × 630 ) / 5

LCM(205,630) = 129150 / 5

LCM(205,630) = 25830


Lets's calculate GCF of 77,5004

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25830/1

Therefore the LCM of Fractions 205/77,630/5004 is 25830

Greatest Common Factor of 77,5004 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,5004 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004

Greatest Common Factor

We found the factors 77,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5004 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 205/77, 630/5004

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 205/77, 630/5004?

Answer: LCM of Numerators as per given numbers 205/77, 630/5004 is

LCM of Numerators i.e. for 205,630 is 25830

GCF of denominators i.e. for 77,5004 is 1.

Thus, LCM of Fractions is 25830.Finally, LCM of Fractions for 205/77, 630/5004 is 25830.