Least Common Multiple of 7/507, 66/578, 42/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/507, 66/578, 42/383 quickly i.e. 462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/507, 66/578, 42/383 is 462.

LCM(7/507, 66/578, 42/383) = 462

LCM of 7/507, 66/578, 42/383

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 7/507,66/578,42/383

Given numbers are 7/507,66/578,42/383

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 7,66,42

Least Common Multiple of Numerators i.e. LCM of 7,66,42 is 462.

GCF of Denominators means GCF of 507,578,383 as per the given fractions.

GCF of 507,578,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,66,42

LCM of Fractions 7/507,66/578,42/383 is 462

2 7, 66, 42
3 7, 33, 21
7 7, 11, 7
1, 11, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 11 x 1 = 462

Least Common Multiple of 7,66,42 with GCF Formula

Least Common Multiple of 7,66,42 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 7,66,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,66,42) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(7,66,42) x common factors =1 x 42 = 42

LCM(7,66,42) = ( 7 × 66 × 42 ) / 42

LCM(7,66,42) = 19404 / 42

LCM(7,66,42) = 462


Lets's calculate GCF of 507,578,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462/1

Therefore the LCM of Fractions 7/507,66/578,42/383 is 462

Greatest Common Factor of 507,578,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,578,383 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 507,578,383 . The biggest common factor number is the GCF number.
So the greatest common factor 507,578,383 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 7/507, 66/578, 42/383

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 7/507, 66/578, 42/383?

Answer: LCM of Numerators as per given numbers 7/507, 66/578, 42/383 is

LCM of Numerators i.e. for 7,66,42 is 462

GCF of denominators i.e. for 507,578,383 is 1.

Thus, LCM of Fractions is 462.Finally, LCM of Fractions for 7/507, 66/578, 42/383 is 462.