Least Common Multiple of 71/740, 438/61, 306/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/740, 438/61, 306/142 quickly i.e. 1585998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/740, 438/61, 306/142 is 1585998.

LCM(71/740, 438/61, 306/142) = 1585998

LCM of 71/740, 438/61, 306/142

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 71/740,438/61,306/142

Given numbers are 71/740,438/61,306/142

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 71,438,306

Least Common Multiple of Numerators i.e. LCM of 71,438,306 is 1585998.

GCF of Denominators means GCF of 740,61,142 as per the given fractions.

GCF of 740,61,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,438,306

LCM of Fractions 71/740,438/61,306/142 is 1585998

2 71, 438, 306
3 71, 219, 153
71, 73, 51

∴ So the LCM of the given numbers is 2 x 3 x 71 x 73 x 51 = 1585998

Least Common Multiple of 71,438,306 with GCF Formula

Least Common Multiple of 71,438,306 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 71,438,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,438,306) = 1

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

GCF(71,438,306) x common factors =1 x 6 = 6

LCM(71,438,306) = ( 71 × 438 × 306 ) / 6

LCM(71,438,306) = 9515988 / 6

LCM(71,438,306) = 1585998


Lets's calculate GCF of 740,61,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1585998/1

Therefore the LCM of Fractions 71/740,438/61,306/142 is 1585998

Greatest Common Factor of 740,61,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,61,142 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 740,61,142 . The biggest common factor number is the GCF number.
So the greatest common factor 740,61,142 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 71/740, 438/61, 306/142

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 71/740, 438/61, 306/142?

Answer: LCM of Numerators as per given numbers 71/740, 438/61, 306/142 is

LCM of Numerators i.e. for 71,438,306 is 1585998

GCF of denominators i.e. for 740,61,142 is 1.

Thus, LCM of Fractions is 1585998.Finally, LCM of Fractions for 71/740, 438/61, 306/142 is 1585998.