Least Common Multiple of 876/888, 783/438, 670/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/888, 783/438, 670/352 quickly i.e. 38296530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/888, 783/438, 670/352 is 38296530.

LCM(876/888, 783/438, 670/352) = 38296530

LCM of 876/888, 783/438, 670/352

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 876/888,783/438,670/352

Given numbers are 876/888,783/438,670/352

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 876,783,670

Least Common Multiple of Numerators i.e. LCM of 876,783,670 is 76593060.

GCF of Denominators means GCF of 888,438,352 as per the given fractions.

GCF of 888,438,352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,783,670

LCM of Fractions 876/888,783/438,670/352 is 38296530

2 876, 783, 670
3 438, 783, 335
146, 261, 335

∴ So the LCM of the given numbers is 2 x 3 x 146 x 261 x 335 = 76593060

Least Common Multiple of 876,783,670 with GCF Formula

Least Common Multiple of 876,783,670 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 876,783,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,783,670) = 1

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

GCF(876,783,670) x common factors =1 x 6 = 6

LCM(876,783,670) = ( 876 × 783 × 670 ) / 6

LCM(876,783,670) = 459558360 / 6

LCM(876,783,670) = 76593060


Lets's calculate GCF of 888,438,352

2 888, 438, 352
444, 219, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76593060/2

Therefore the LCM of Fractions 876/888,783/438,670/352 is 38296530

Greatest Common Factor of 888,438,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,438,352 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 888,438,352 . The biggest common factor number is the GCF number.
So the greatest common factor 888,438,352 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 876/888, 783/438, 670/352

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 876/888, 783/438, 670/352?

Answer: LCM of Numerators as per given numbers 876/888, 783/438, 670/352 is

LCM of Numerators i.e. for 876,783,670 is 76593060

GCF of denominators i.e. for 888,438,352 is 2.

Thus, LCM of Fractions is 38296530.Finally, LCM of Fractions for 876/888, 783/438, 670/352 is 38296530.