Least Common Multiple of 38/42, 49/67, 63/30, 72/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/42, 49/67, 63/30, 72/478 quickly i.e. 67032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/42, 49/67, 63/30, 72/478 is 67032.

LCM(38/42, 49/67, 63/30, 72/478) = 67032

LCM of 38/42, 49/67, 63/30, 72/478

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 38/42,49/67,63/30,72/478

Given numbers are 38/42,49/67,63/30,72/478

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 38,49,63,72

Least Common Multiple of Numerators i.e. LCM of 38,49,63,72 is 67032.

GCF of Denominators means GCF of 42,67,30,478 as per the given fractions.

GCF of 42,67,30,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,49,63,72

LCM of Fractions 38/42,49/67,63/30,72/478 is 67032

2 38, 49, 63, 72
3 19, 49, 63, 36
3 19, 49, 21, 12
7 19, 49, 7, 4
19, 1, 7, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 19 x 1 x 7 x 4 = 67032

Least Common Multiple of 38,49,63,72 with GCF Formula

Least Common Multiple of 38,49,63,72 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 38,49,63,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,49,63,72) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(38,49,63,72) x common factors =1 x 126 = 126

LCM(38,49,63,72) = ( 38 × 49 × 63 × 72 ) / 126

LCM(38,49,63,72) = 8446032 / 126

LCM(38,49,63,72) = 67032


Lets's calculate GCF of 42,67,30,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67032/1

Therefore the LCM of Fractions 38/42,49/67,63/30,72/478 is 67032

Greatest Common Factor of 42,67,30,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,67,30,478 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 42,67,30,478 . The biggest common factor number is the GCF number.
So the greatest common factor 42,67,30,478 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 38/42, 49/67, 63/30, 72/478

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 38/42, 49/67, 63/30, 72/478?

Answer: LCM of Numerators as per given numbers 38/42, 49/67, 63/30, 72/478 is

LCM of Numerators i.e. for 38,49,63,72 is 67032

GCF of denominators i.e. for 42,67,30,478 is 1.

Thus, LCM of Fractions is 67032.Finally, LCM of Fractions for 38/42, 49/67, 63/30, 72/478 is 67032.