Least Common Multiple of 380/94, 806/45, 784/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/94, 806/45, 784/804 quickly i.e. 30015440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/94, 806/45, 784/804 is 30015440.

LCM(380/94, 806/45, 784/804) = 30015440

LCM of 380/94, 806/45, 784/804

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 380/94,806/45,784/804

Given numbers are 380/94,806/45,784/804

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 380,806,784

Least Common Multiple of Numerators i.e. LCM of 380,806,784 is 30015440.

GCF of Denominators means GCF of 94,45,804 as per the given fractions.

GCF of 94,45,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,806,784

LCM of Fractions 380/94,806/45,784/804 is 30015440

2 380, 806, 784
2 190, 403, 392
95, 403, 196

∴ So the LCM of the given numbers is 2 x 2 x 95 x 403 x 196 = 30015440

Least Common Multiple of 380,806,784 with GCF Formula

Least Common Multiple of 380,806,784 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 380,806,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,806,784) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(380,806,784) x common factors =2 x 4 = 8

LCM(380,806,784) = ( 380 × 806 × 784 ) / 8

LCM(380,806,784) = 240123520 / 8

LCM(380,806,784) = 30015440


Lets's calculate GCF of 94,45,804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30015440/1

Therefore the LCM of Fractions 380/94,806/45,784/804 is 30015440

Greatest Common Factor of 94,45,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,45,804 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 94,45,804 . The biggest common factor number is the GCF number.
So the greatest common factor 94,45,804 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 380/94, 806/45, 784/804

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 380/94, 806/45, 784/804?

Answer: LCM of Numerators as per given numbers 380/94, 806/45, 784/804 is

LCM of Numerators i.e. for 380,806,784 is 30015440

GCF of denominators i.e. for 94,45,804 is 1.

Thus, LCM of Fractions is 30015440.Finally, LCM of Fractions for 380/94, 806/45, 784/804 is 30015440.