Least Common Multiple of 48/348, 873/231, 859/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/348, 873/231, 859/630 quickly i.e. 3999504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/348, 873/231, 859/630 is 3999504.

LCM(48/348, 873/231, 859/630) = 3999504

LCM of 48/348, 873/231, 859/630

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 48/348,873/231,859/630

Given numbers are 48/348,873/231,859/630

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 48,873,859

Least Common Multiple of Numerators i.e. LCM of 48,873,859 is 11998512.

GCF of Denominators means GCF of 348,231,630 as per the given fractions.

GCF of 348,231,630 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,873,859

LCM of Fractions 48/348,873/231,859/630 is 3999504

3 48, 873, 859
16, 291, 859

∴ So the LCM of the given numbers is 3 x 16 x 291 x 859 = 11998512

Least Common Multiple of 48,873,859 with GCF Formula

Least Common Multiple of 48,873,859 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 48,873,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,873,859) = 1

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

GCF(48,873,859) x common factors =1 x 3 = 3

LCM(48,873,859) = ( 48 × 873 × 859 ) / 3

LCM(48,873,859) = 35995536 / 3

LCM(48,873,859) = 11998512


Lets's calculate GCF of 348,231,630

3 348, 231, 630
116, 77, 210

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11998512/3

Therefore the LCM of Fractions 48/348,873/231,859/630 is 3999504

Greatest Common Factor of 348,231,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,231,630 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 348,231,630 . The biggest common factor number is the GCF number.
So the greatest common factor 348,231,630 is 3.


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 48/348, 873/231, 859/630

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 48/348, 873/231, 859/630?

Answer: LCM of Numerators as per given numbers 48/348, 873/231, 859/630 is

LCM of Numerators i.e. for 48,873,859 is 11998512

GCF of denominators i.e. for 348,231,630 is 3.

Thus, LCM of Fractions is 3999504.Finally, LCM of Fractions for 48/348, 873/231, 859/630 is 3999504.