Least Common Multiple of 49/990, 9455/6138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/990, 9455/6138 quickly i.e. 463295/198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/990, 9455/6138 is 463295/198.

LCM(49/990, 9455/6138) = 463295/198

LCM of 49/990, 9455/6138

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 49/990,9455/6138

Given numbers are 49/990,9455/6138

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 49,9455

Least Common Multiple of Numerators i.e. LCM of 49,9455 is 463295.

GCF of Denominators means GCF of 990,6138 as per the given fractions.

GCF of 990,6138 is 198 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,9455

LCM of Fractions 49/990,9455/6138 is 463295/198

Given numbers has no common factors except 1. So, there LCM is their product i.e 463295

Least Common Multiple of 49,9455 with GCF Formula

Least Common Multiple of 49,9455 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 49,9455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,9455) = 1

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

GCF(49,9455) x common factors =1 x 1 = 1

LCM(49,9455) = ( 49 × 9455 ) / 1

LCM(49,9455) = 463295 / 1

LCM(49,9455) = 463295


Lets's calculate GCF of 990,6138

2 990, 6138
3 495, 3069
3 165, 1023
11 55, 341
5, 31

∴ So the GCF of the given numbers is 2 x 3 x 3 x 11 = 198

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463295/198

Therefore the LCM of Fractions 49/990,9455/6138 is 463295/198

Greatest Common Factor of 990,6138 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,6138 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Greatest Common Factor

We found the factors 990,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 990,6138 is 198.


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 49/990, 9455/6138

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 49/990, 9455/6138?

Answer: LCM of Numerators as per given numbers 49/990, 9455/6138 is

LCM of Numerators i.e. for 49,9455 is 463295

GCF of denominators i.e. for 990,6138 is 198.

Thus, LCM of Fractions is 463295/198.Finally, LCM of Fractions for 49/990, 9455/6138 is 463295/198.