Least Common Multiple of 10/48, 99/236, 879/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/48, 99/236, 879/406 quickly i.e. 145035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/48, 99/236, 879/406 is 145035.

LCM(10/48, 99/236, 879/406) = 145035

LCM of 10/48, 99/236, 879/406

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 10/48,99/236,879/406

Given numbers are 10/48,99/236,879/406

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 10,99,879

Least Common Multiple of Numerators i.e. LCM of 10,99,879 is 290070.

GCF of Denominators means GCF of 48,236,406 as per the given fractions.

GCF of 48,236,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,99,879

LCM of Fractions 10/48,99/236,879/406 is 145035

3 10, 99, 879
10, 33, 293

∴ So the LCM of the given numbers is 3 x 10 x 33 x 293 = 290070

Least Common Multiple of 10,99,879 with GCF Formula

Least Common Multiple of 10,99,879 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 10,99,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,99,879) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(10,99,879) x common factors =1 x 3 = 3

LCM(10,99,879) = ( 10 × 99 × 879 ) / 3

LCM(10,99,879) = 870210 / 3

LCM(10,99,879) = 290070


Lets's calculate GCF of 48,236,406

2 48, 236, 406
24, 118, 203

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290070/2

Therefore the LCM of Fractions 10/48,99/236,879/406 is 145035

Greatest Common Factor of 48,236,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,236,406 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 48,236,406 . The biggest common factor number is the GCF number.
So the greatest common factor 48,236,406 is 2.


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 10/48, 99/236, 879/406

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 10/48, 99/236, 879/406?

Answer: LCM of Numerators as per given numbers 10/48, 99/236, 879/406 is

LCM of Numerators i.e. for 10,99,879 is 290070

GCF of denominators i.e. for 48,236,406 is 2.

Thus, LCM of Fractions is 145035.Finally, LCM of Fractions for 10/48, 99/236, 879/406 is 145035.