Least Common Multiple of 49/20, 83/958, 501/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/20, 83/958, 501/605 quickly i.e. 2037567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/20, 83/958, 501/605 is 2037567.

LCM(49/20, 83/958, 501/605) = 2037567

LCM of 49/20, 83/958, 501/605

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 49/20,83/958,501/605

Given numbers are 49/20,83/958,501/605

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 49,83,501

Least Common Multiple of Numerators i.e. LCM of 49,83,501 is 2037567.

GCF of Denominators means GCF of 20,958,605 as per the given fractions.

GCF of 20,958,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,83,501

LCM of Fractions 49/20,83/958,501/605 is 2037567

Given numbers has no common factors except 1. So, there LCM is their product i.e 2037567

Least Common Multiple of 49,83,501 with GCF Formula

Least Common Multiple of 49,83,501 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 49,83,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,83,501) = 1

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

GCF(49,83,501) x common factors =1 x 1 = 1

LCM(49,83,501) = ( 49 × 83 × 501 ) / 1

LCM(49,83,501) = 2037567 / 1

LCM(49,83,501) = 2037567


Lets's calculate GCF of 20,958,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2037567/1

Therefore the LCM of Fractions 49/20,83/958,501/605 is 2037567

Greatest Common Factor of 20,958,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,958,605 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 20,958,605 . The biggest common factor number is the GCF number.
So the greatest common factor 20,958,605 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 49/20, 83/958, 501/605

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 49/20, 83/958, 501/605?

Answer: LCM of Numerators as per given numbers 49/20, 83/958, 501/605 is

LCM of Numerators i.e. for 49,83,501 is 2037567

GCF of denominators i.e. for 20,958,605 is 1.

Thus, LCM of Fractions is 2037567.Finally, LCM of Fractions for 49/20, 83/958, 501/605 is 2037567.