Least Common Multiple of 35/462, 30/504, 581/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/462, 30/504, 581/247 quickly i.e. 17430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/462, 30/504, 581/247 is 17430.

LCM(35/462, 30/504, 581/247) = 17430

LCM of 35/462, 30/504, 581/247

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 35/462,30/504,581/247

Given numbers are 35/462,30/504,581/247

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 35,30,581

Least Common Multiple of Numerators i.e. LCM of 35,30,581 is 17430.

GCF of Denominators means GCF of 462,504,247 as per the given fractions.

GCF of 462,504,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,30,581

LCM of Fractions 35/462,30/504,581/247 is 17430

5 35, 30, 581
7 7, 6, 581
1, 6, 83

∴ So the LCM of the given numbers is 5 x 7 x 1 x 6 x 83 = 17430

Least Common Multiple of 35,30,581 with GCF Formula

Least Common Multiple of 35,30,581 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 35,30,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,30,581) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(35,30,581) x common factors =1 x 35 = 35

LCM(35,30,581) = ( 35 × 30 × 581 ) / 35

LCM(35,30,581) = 610050 / 35

LCM(35,30,581) = 17430


Lets's calculate GCF of 462,504,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17430/1

Therefore the LCM of Fractions 35/462,30/504,581/247 is 17430

Greatest Common Factor of 462,504,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,504,247 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 462,504,247 . The biggest common factor number is the GCF number.
So the greatest common factor 462,504,247 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 35/462, 30/504, 581/247

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 35/462, 30/504, 581/247?

Answer: LCM of Numerators as per given numbers 35/462, 30/504, 581/247 is

LCM of Numerators i.e. for 35,30,581 is 17430

GCF of denominators i.e. for 462,504,247 is 1.

Thus, LCM of Fractions is 17430.Finally, LCM of Fractions for 35/462, 30/504, 581/247 is 17430.