Least Common Multiple of 11/954, 42/783, 581/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/954, 42/783, 581/422 quickly i.e. 38346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/954, 42/783, 581/422 is 38346.

LCM(11/954, 42/783, 581/422) = 38346

LCM of 11/954, 42/783, 581/422

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 11/954,42/783,581/422

Given numbers are 11/954,42/783,581/422

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 11,42,581

Least Common Multiple of Numerators i.e. LCM of 11,42,581 is 38346.

GCF of Denominators means GCF of 954,783,422 as per the given fractions.

GCF of 954,783,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,42,581

LCM of Fractions 11/954,42/783,581/422 is 38346

7 11, 42, 581
11, 6, 83

∴ So the LCM of the given numbers is 7 x 11 x 6 x 83 = 38346

Least Common Multiple of 11,42,581 with GCF Formula

Least Common Multiple of 11,42,581 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 11,42,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,42,581) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(11,42,581) x common factors =1 x 7 = 7

LCM(11,42,581) = ( 11 × 42 × 581 ) / 7

LCM(11,42,581) = 268422 / 7

LCM(11,42,581) = 38346


Lets's calculate GCF of 954,783,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38346/1

Therefore the LCM of Fractions 11/954,42/783,581/422 is 38346

Greatest Common Factor of 954,783,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,783,422 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 954,783,422 . The biggest common factor number is the GCF number.
So the greatest common factor 954,783,422 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 11/954, 42/783, 581/422

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 11/954, 42/783, 581/422?

Answer: LCM of Numerators as per given numbers 11/954, 42/783, 581/422 is

LCM of Numerators i.e. for 11,42,581 is 38346

GCF of denominators i.e. for 954,783,422 is 1.

Thus, LCM of Fractions is 38346.Finally, LCM of Fractions for 11/954, 42/783, 581/422 is 38346.