Least Common Multiple of 47/609, 658/438, 414/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/609, 658/438, 414/503 quickly i.e. 136206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/609, 658/438, 414/503 is 136206.

LCM(47/609, 658/438, 414/503) = 136206

LCM of 47/609, 658/438, 414/503

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 47/609,658/438,414/503

Given numbers are 47/609,658/438,414/503

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 47,658,414

Least Common Multiple of Numerators i.e. LCM of 47,658,414 is 136206.

GCF of Denominators means GCF of 609,438,503 as per the given fractions.

GCF of 609,438,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,658,414

LCM of Fractions 47/609,658/438,414/503 is 136206

2 47, 658, 414
47 47, 329, 207
1, 7, 207

∴ So the LCM of the given numbers is 2 x 47 x 1 x 7 x 207 = 136206

Least Common Multiple of 47,658,414 with GCF Formula

Least Common Multiple of 47,658,414 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 47,658,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,658,414) = 1

common factors(in case of two or more numbers have common factors) = 94

GCF(47,658,414) x common factors =1 x 94 = 94

LCM(47,658,414) = ( 47 × 658 × 414 ) / 94

LCM(47,658,414) = 12803364 / 94

LCM(47,658,414) = 136206


Lets's calculate GCF of 609,438,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136206/1

Therefore the LCM of Fractions 47/609,658/438,414/503 is 136206

Greatest Common Factor of 609,438,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,438,503 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 609,438,503 . The biggest common factor number is the GCF number.
So the greatest common factor 609,438,503 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 47/609, 658/438, 414/503

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 47/609, 658/438, 414/503?

Answer: LCM of Numerators as per given numbers 47/609, 658/438, 414/503 is

LCM of Numerators i.e. for 47,658,414 is 136206

GCF of denominators i.e. for 609,438,503 is 1.

Thus, LCM of Fractions is 136206.Finally, LCM of Fractions for 47/609, 658/438, 414/503 is 136206.