Least Common Multiple of 438/129, 469/869, 498/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/129, 469/869, 498/630 quickly i.e. 17050026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/129, 469/869, 498/630 is 17050026.

LCM(438/129, 469/869, 498/630) = 17050026

LCM of 438/129, 469/869, 498/630

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 438/129,469/869,498/630

Given numbers are 438/129,469/869,498/630

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 438,469,498

Least Common Multiple of Numerators i.e. LCM of 438,469,498 is 17050026.

GCF of Denominators means GCF of 129,869,630 as per the given fractions.

GCF of 129,869,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,469,498

LCM of Fractions 438/129,469/869,498/630 is 17050026

2 438, 469, 498
3 219, 469, 249
73, 469, 83

∴ So the LCM of the given numbers is 2 x 3 x 73 x 469 x 83 = 17050026

Least Common Multiple of 438,469,498 with GCF Formula

Least Common Multiple of 438,469,498 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 438,469,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,469,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(438,469,498) x common factors =1 x 6 = 6

LCM(438,469,498) = ( 438 × 469 × 498 ) / 6

LCM(438,469,498) = 102300156 / 6

LCM(438,469,498) = 17050026


Lets's calculate GCF of 129,869,630

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17050026/1

Therefore the LCM of Fractions 438/129,469/869,498/630 is 17050026

Greatest Common Factor of 129,869,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,869,630 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

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 129,869,630 . The biggest common factor number is the GCF number.
So the greatest common factor 129,869,630 is 1.


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 438/129, 469/869, 498/630

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 438/129, 469/869, 498/630?

Answer: LCM of Numerators as per given numbers 438/129, 469/869, 498/630 is

LCM of Numerators i.e. for 438,469,498 is 17050026

GCF of denominators i.e. for 129,869,630 is 1.

Thus, LCM of Fractions is 17050026.Finally, LCM of Fractions for 438/129, 469/869, 498/630 is 17050026.