Least Common Multiple of 86/142, 16/708, 814/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/142, 16/708, 814/716 quickly i.e. 140008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/142, 16/708, 814/716 is 140008.

LCM(86/142, 16/708, 814/716) = 140008

LCM of 86/142, 16/708, 814/716

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 86/142,16/708,814/716

Given numbers are 86/142,16/708,814/716

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 86,16,814

Least Common Multiple of Numerators i.e. LCM of 86,16,814 is 280016.

GCF of Denominators means GCF of 142,708,716 as per the given fractions.

GCF of 142,708,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,16,814

LCM of Fractions 86/142,16/708,814/716 is 140008

2 86, 16, 814
43, 8, 407

∴ So the LCM of the given numbers is 2 x 43 x 8 x 407 = 280016

Least Common Multiple of 86,16,814 with GCF Formula

Least Common Multiple of 86,16,814 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 86,16,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,16,814) = 2

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

GCF(86,16,814) x common factors =2 x 2 = 4

LCM(86,16,814) = ( 86 × 16 × 814 ) / 4

LCM(86,16,814) = 1120064 / 4

LCM(86,16,814) = 280016


Lets's calculate GCF of 142,708,716

2 142, 708, 716
71, 354, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280016/2

Therefore the LCM of Fractions 86/142,16/708,814/716 is 140008

Greatest Common Factor of 142,708,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,708,716 By Matching Biggest Common Factor Method

Factors of 142

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

1,2,71,142

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 142,708,716 . The biggest common factor number is the GCF number.
So the greatest common factor 142,708,716 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 86/142, 16/708, 814/716

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 86/142, 16/708, 814/716?

Answer: LCM of Numerators as per given numbers 86/142, 16/708, 814/716 is

LCM of Numerators i.e. for 86,16,814 is 280016

GCF of denominators i.e. for 142,708,716 is 2.

Thus, LCM of Fractions is 140008.Finally, LCM of Fractions for 86/142, 16/708, 814/716 is 140008.