Least Common Multiple of 48/88, 563/58, 105/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/88, 563/58, 105/900 quickly i.e. 472920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/88, 563/58, 105/900 is 472920.

LCM(48/88, 563/58, 105/900) = 472920

LCM of 48/88, 563/58, 105/900

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 48/88,563/58,105/900

Given numbers are 48/88,563/58,105/900

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 48,563,105

Least Common Multiple of Numerators i.e. LCM of 48,563,105 is 945840.

GCF of Denominators means GCF of 88,58,900 as per the given fractions.

GCF of 88,58,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,563,105

LCM of Fractions 48/88,563/58,105/900 is 472920

3 48, 563, 105
16, 563, 35

∴ So the LCM of the given numbers is 3 x 16 x 563 x 35 = 945840

Least Common Multiple of 48,563,105 with GCF Formula

Least Common Multiple of 48,563,105 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 48,563,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,563,105) = 1

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

GCF(48,563,105) x common factors =1 x 3 = 3

LCM(48,563,105) = ( 48 × 563 × 105 ) / 3

LCM(48,563,105) = 2837520 / 3

LCM(48,563,105) = 945840


Lets's calculate GCF of 88,58,900

2 88, 58, 900
44, 29, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945840/2

Therefore the LCM of Fractions 48/88,563/58,105/900 is 472920

Greatest Common Factor of 88,58,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,58,900 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 88,58,900 . The biggest common factor number is the GCF number.
So the greatest common factor 88,58,900 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 48/88, 563/58, 105/900

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 48/88, 563/58, 105/900?

Answer: LCM of Numerators as per given numbers 48/88, 563/58, 105/900 is

LCM of Numerators i.e. for 48,563,105 is 945840

GCF of denominators i.e. for 88,58,900 is 2.

Thus, LCM of Fractions is 472920.Finally, LCM of Fractions for 48/88, 563/58, 105/900 is 472920.