Least Common Multiple of 42/580, 11/429, 864/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/580, 11/429, 864/946 quickly i.e. 66528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/580, 11/429, 864/946 is 66528.

LCM(42/580, 11/429, 864/946) = 66528

LCM of 42/580, 11/429, 864/946

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 42/580,11/429,864/946

Given numbers are 42/580,11/429,864/946

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 42,11,864

Least Common Multiple of Numerators i.e. LCM of 42,11,864 is 66528.

GCF of Denominators means GCF of 580,429,946 as per the given fractions.

GCF of 580,429,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,11,864

LCM of Fractions 42/580,11/429,864/946 is 66528

2 42, 11, 864
3 21, 11, 432
7, 11, 144

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 144 = 66528

Least Common Multiple of 42,11,864 with GCF Formula

Least Common Multiple of 42,11,864 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 42,11,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,11,864) = 1

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

GCF(42,11,864) x common factors =1 x 6 = 6

LCM(42,11,864) = ( 42 × 11 × 864 ) / 6

LCM(42,11,864) = 399168 / 6

LCM(42,11,864) = 66528


Lets's calculate GCF of 580,429,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66528/1

Therefore the LCM of Fractions 42/580,11/429,864/946 is 66528

Greatest Common Factor of 580,429,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,429,946 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 580,429,946 . The biggest common factor number is the GCF number.
So the greatest common factor 580,429,946 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 42/580, 11/429, 864/946

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 42/580, 11/429, 864/946?

Answer: LCM of Numerators as per given numbers 42/580, 11/429, 864/946 is

LCM of Numerators i.e. for 42,11,864 is 66528

GCF of denominators i.e. for 580,429,946 is 1.

Thus, LCM of Fractions is 66528.Finally, LCM of Fractions for 42/580, 11/429, 864/946 is 66528.