Least Common Multiple of 71/318, 462/609, 434/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/318, 462/609, 434/140 quickly i.e. 1016862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/318, 462/609, 434/140 is 1016862.

LCM(71/318, 462/609, 434/140) = 1016862

LCM of 71/318, 462/609, 434/140

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 71/318,462/609,434/140

Given numbers are 71/318,462/609,434/140

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 71,462,434

Least Common Multiple of Numerators i.e. LCM of 71,462,434 is 1016862.

GCF of Denominators means GCF of 318,609,140 as per the given fractions.

GCF of 318,609,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,462,434

LCM of Fractions 71/318,462/609,434/140 is 1016862

2 71, 462, 434
7 71, 231, 217
71, 33, 31

∴ So the LCM of the given numbers is 2 x 7 x 71 x 33 x 31 = 1016862

Least Common Multiple of 71,462,434 with GCF Formula

Least Common Multiple of 71,462,434 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 71,462,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,462,434) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(71,462,434) x common factors =1 x 14 = 14

LCM(71,462,434) = ( 71 × 462 × 434 ) / 14

LCM(71,462,434) = 14236068 / 14

LCM(71,462,434) = 1016862


Lets's calculate GCF of 318,609,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1016862/1

Therefore the LCM of Fractions 71/318,462/609,434/140 is 1016862

Greatest Common Factor of 318,609,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,609,140 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 318,609,140 . The biggest common factor number is the GCF number.
So the greatest common factor 318,609,140 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 71/318, 462/609, 434/140

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 71/318, 462/609, 434/140?

Answer: LCM of Numerators as per given numbers 71/318, 462/609, 434/140 is

LCM of Numerators i.e. for 71,462,434 is 1016862

GCF of denominators i.e. for 318,609,140 is 1.

Thus, LCM of Fractions is 1016862.Finally, LCM of Fractions for 71/318, 462/609, 434/140 is 1016862.