Least Common Multiple of 67/860, 856/385, 910/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/860, 856/385, 910/176 quickly i.e. 26095160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/860, 856/385, 910/176 is 26095160.

LCM(67/860, 856/385, 910/176) = 26095160

LCM of 67/860, 856/385, 910/176

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 67/860,856/385,910/176

Given numbers are 67/860,856/385,910/176

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 67,856,910

Least Common Multiple of Numerators i.e. LCM of 67,856,910 is 26095160.

GCF of Denominators means GCF of 860,385,176 as per the given fractions.

GCF of 860,385,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,856,910

LCM of Fractions 67/860,856/385,910/176 is 26095160

2 67, 856, 910
67, 428, 455

∴ So the LCM of the given numbers is 2 x 67 x 428 x 455 = 26095160

Least Common Multiple of 67,856,910 with GCF Formula

Least Common Multiple of 67,856,910 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 67,856,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,856,910) = 1

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

GCF(67,856,910) x common factors =1 x 2 = 2

LCM(67,856,910) = ( 67 × 856 × 910 ) / 2

LCM(67,856,910) = 52190320 / 2

LCM(67,856,910) = 26095160


Lets's calculate GCF of 860,385,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26095160/1

Therefore the LCM of Fractions 67/860,856/385,910/176 is 26095160

Greatest Common Factor of 860,385,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,385,176 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

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 860,385,176 . The biggest common factor number is the GCF number.
So the greatest common factor 860,385,176 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 67/860, 856/385, 910/176

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 67/860, 856/385, 910/176?

Answer: LCM of Numerators as per given numbers 67/860, 856/385, 910/176 is

LCM of Numerators i.e. for 67,856,910 is 26095160

GCF of denominators i.e. for 860,385,176 is 1.

Thus, LCM of Fractions is 26095160.Finally, LCM of Fractions for 67/860, 856/385, 910/176 is 26095160.