Least Common Multiple of 72/86, 424/26, 614/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/86, 424/26, 614/176 quickly i.e. 585756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/86, 424/26, 614/176 is 585756.

LCM(72/86, 424/26, 614/176) = 585756

LCM of 72/86, 424/26, 614/176

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 72/86,424/26,614/176

Given numbers are 72/86,424/26,614/176

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 72,424,614

Least Common Multiple of Numerators i.e. LCM of 72,424,614 is 1171512.

GCF of Denominators means GCF of 86,26,176 as per the given fractions.

GCF of 86,26,176 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,424,614

LCM of Fractions 72/86,424/26,614/176 is 585756

2 72, 424, 614
2 36, 212, 307
2 18, 106, 307
9, 53, 307

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 53 x 307 = 1171512

Least Common Multiple of 72,424,614 with GCF Formula

Least Common Multiple of 72,424,614 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 72,424,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,424,614) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(72,424,614) x common factors =2 x 8 = 16

LCM(72,424,614) = ( 72 × 424 × 614 ) / 16

LCM(72,424,614) = 18744192 / 16

LCM(72,424,614) = 1171512


Lets's calculate GCF of 86,26,176

2 86, 26, 176
43, 13, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1171512/2

Therefore the LCM of Fractions 72/86,424/26,614/176 is 585756

Greatest Common Factor of 86,26,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,26,176 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 86,26,176 . The biggest common factor number is the GCF number.
So the greatest common factor 86,26,176 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 72/86, 424/26, 614/176

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 72/86, 424/26, 614/176?

Answer: LCM of Numerators as per given numbers 72/86, 424/26, 614/176 is

LCM of Numerators i.e. for 72,424,614 is 1171512

GCF of denominators i.e. for 86,26,176 is 2.

Thus, LCM of Fractions is 585756.Finally, LCM of Fractions for 72/86, 424/26, 614/176 is 585756.