Least Common Multiple of 86/141, 394/812, 680/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/141, 394/812, 680/406 quickly i.e. 5760280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/141, 394/812, 680/406 is 5760280.

LCM(86/141, 394/812, 680/406) = 5760280

LCM of 86/141, 394/812, 680/406

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 86/141,394/812,680/406

Given numbers are 86/141,394/812,680/406

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 86,394,680

Least Common Multiple of Numerators i.e. LCM of 86,394,680 is 5760280.

GCF of Denominators means GCF of 141,812,406 as per the given fractions.

GCF of 141,812,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,394,680

LCM of Fractions 86/141,394/812,680/406 is 5760280

2 86, 394, 680
43, 197, 340

∴ So the LCM of the given numbers is 2 x 43 x 197 x 340 = 5760280

Least Common Multiple of 86,394,680 with GCF Formula

Least Common Multiple of 86,394,680 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 86,394,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,394,680) = 2

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

GCF(86,394,680) x common factors =2 x 2 = 4

LCM(86,394,680) = ( 86 × 394 × 680 ) / 4

LCM(86,394,680) = 23041120 / 4

LCM(86,394,680) = 5760280


Lets's calculate GCF of 141,812,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5760280/1

Therefore the LCM of Fractions 86/141,394/812,680/406 is 5760280

Greatest Common Factor of 141,812,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,812,406 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 141,812,406 . The biggest common factor number is the GCF number.
So the greatest common factor 141,812,406 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 86/141, 394/812, 680/406

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 86/141, 394/812, 680/406?

Answer: LCM of Numerators as per given numbers 86/141, 394/812, 680/406 is

LCM of Numerators i.e. for 86,394,680 is 5760280

GCF of denominators i.e. for 141,812,406 is 1.

Thus, LCM of Fractions is 5760280.Finally, LCM of Fractions for 86/141, 394/812, 680/406 is 5760280.