Least Common Multiple of 38/72, 45/892, 402/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/72, 45/892, 402/463 quickly i.e. 114570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/72, 45/892, 402/463 is 114570.

LCM(38/72, 45/892, 402/463) = 114570

LCM of 38/72, 45/892, 402/463

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 38/72,45/892,402/463

Given numbers are 38/72,45/892,402/463

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 38,45,402

Least Common Multiple of Numerators i.e. LCM of 38,45,402 is 114570.

GCF of Denominators means GCF of 72,892,463 as per the given fractions.

GCF of 72,892,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,45,402

LCM of Fractions 38/72,45/892,402/463 is 114570

2 38, 45, 402
3 19, 45, 201
19, 15, 67

∴ So the LCM of the given numbers is 2 x 3 x 19 x 15 x 67 = 114570

Least Common Multiple of 38,45,402 with GCF Formula

Least Common Multiple of 38,45,402 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 38,45,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,45,402) = 1

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

GCF(38,45,402) x common factors =1 x 6 = 6

LCM(38,45,402) = ( 38 × 45 × 402 ) / 6

LCM(38,45,402) = 687420 / 6

LCM(38,45,402) = 114570


Lets's calculate GCF of 72,892,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114570/1

Therefore the LCM of Fractions 38/72,45/892,402/463 is 114570

Greatest Common Factor of 72,892,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,892,463 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 72,892,463 . The biggest common factor number is the GCF number.
So the greatest common factor 72,892,463 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 38/72, 45/892, 402/463

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 38/72, 45/892, 402/463?

Answer: LCM of Numerators as per given numbers 38/72, 45/892, 402/463 is

LCM of Numerators i.e. for 38,45,402 is 114570

GCF of denominators i.e. for 72,892,463 is 1.

Thus, LCM of Fractions is 114570.Finally, LCM of Fractions for 38/72, 45/892, 402/463 is 114570.