Least Common Multiple of 62/400, 75/294, 382/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/400, 75/294, 382/630 quickly i.e. 444075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/400, 75/294, 382/630 is 444075.

LCM(62/400, 75/294, 382/630) = 444075

LCM of 62/400, 75/294, 382/630

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 62/400,75/294,382/630

Given numbers are 62/400,75/294,382/630

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 62,75,382

Least Common Multiple of Numerators i.e. LCM of 62,75,382 is 888150.

GCF of Denominators means GCF of 400,294,630 as per the given fractions.

GCF of 400,294,630 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,75,382

LCM of Fractions 62/400,75/294,382/630 is 444075

2 62, 75, 382
31, 75, 191

∴ So the LCM of the given numbers is 2 x 31 x 75 x 191 = 888150

Least Common Multiple of 62,75,382 with GCF Formula

Least Common Multiple of 62,75,382 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 62,75,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,75,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,75,382) x common factors =1 x 2 = 2

LCM(62,75,382) = ( 62 × 75 × 382 ) / 2

LCM(62,75,382) = 1776300 / 2

LCM(62,75,382) = 888150


Lets's calculate GCF of 400,294,630

2 400, 294, 630
200, 147, 315

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 888150/2

Therefore the LCM of Fractions 62/400,75/294,382/630 is 444075

Greatest Common Factor of 400,294,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,294,630 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 400,294,630 . The biggest common factor number is the GCF number.
So the greatest common factor 400,294,630 is 2.


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 62/400, 75/294, 382/630

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 62/400, 75/294, 382/630?

Answer: LCM of Numerators as per given numbers 62/400, 75/294, 382/630 is

LCM of Numerators i.e. for 62,75,382 is 888150

GCF of denominators i.e. for 400,294,630 is 2.

Thus, LCM of Fractions is 444075.Finally, LCM of Fractions for 62/400, 75/294, 382/630 is 444075.