Least Common Multiple of 6199/506, 9875/1606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6199/506, 9875/1606 quickly i.e. 61215125/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6199/506, 9875/1606 is 61215125/22.

LCM(6199/506, 9875/1606) = 61215125/22

LCM of 6199/506, 9875/1606

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 6199/506,9875/1606

Given numbers are 6199/506,9875/1606

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 6199,9875

Least Common Multiple of Numerators i.e. LCM of 6199,9875 is 61215125.

GCF of Denominators means GCF of 506,1606 as per the given fractions.

GCF of 506,1606 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6199,9875

LCM of Fractions 6199/506,9875/1606 is 61215125/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 61215125

Least Common Multiple of 6199,9875 with GCF Formula

Least Common Multiple of 6199,9875 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 6199,9875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6199,9875) = 1

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

GCF(6199,9875) x common factors =1 x 1 = 1

LCM(6199,9875) = ( 6199 × 9875 ) / 1

LCM(6199,9875) = 61215125 / 1

LCM(6199,9875) = 61215125


Lets's calculate GCF of 506,1606

2 506, 1606
11 253, 803
23, 73

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61215125/22

Therefore the LCM of Fractions 6199/506,9875/1606 is 61215125/22

Greatest Common Factor of 506,1606 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,1606 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 1606

List of positive integer factors of 1606 that divides 1606 without a remainder.

1,2,11,22,73,146,803,1606

Greatest Common Factor

We found the factors 506,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 506,1606 is 22.


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 6199/506, 9875/1606

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 6199/506, 9875/1606?

Answer: LCM of Numerators as per given numbers 6199/506, 9875/1606 is

LCM of Numerators i.e. for 6199,9875 is 61215125

GCF of denominators i.e. for 506,1606 is 22.

Thus, LCM of Fractions is 61215125/22.Finally, LCM of Fractions for 6199/506, 9875/1606 is 61215125/22.