Least Common Multiple of 78/867, 545/88, 798/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/867, 545/88, 798/445 quickly i.e. 5653830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/867, 545/88, 798/445 is 5653830.

LCM(78/867, 545/88, 798/445) = 5653830

LCM of 78/867, 545/88, 798/445

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 78/867,545/88,798/445

Given numbers are 78/867,545/88,798/445

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 78,545,798

Least Common Multiple of Numerators i.e. LCM of 78,545,798 is 5653830.

GCF of Denominators means GCF of 867,88,445 as per the given fractions.

GCF of 867,88,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,545,798

LCM of Fractions 78/867,545/88,798/445 is 5653830

2 78, 545, 798
3 39, 545, 399
13, 545, 133

∴ So the LCM of the given numbers is 2 x 3 x 13 x 545 x 133 = 5653830

Least Common Multiple of 78,545,798 with GCF Formula

Least Common Multiple of 78,545,798 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 78,545,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,545,798) = 1

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

GCF(78,545,798) x common factors =1 x 6 = 6

LCM(78,545,798) = ( 78 × 545 × 798 ) / 6

LCM(78,545,798) = 33922980 / 6

LCM(78,545,798) = 5653830


Lets's calculate GCF of 867,88,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5653830/1

Therefore the LCM of Fractions 78/867,545/88,798/445 is 5653830

Greatest Common Factor of 867,88,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,88,445 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

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

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 867,88,445 . The biggest common factor number is the GCF number.
So the greatest common factor 867,88,445 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 78/867, 545/88, 798/445

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 78/867, 545/88, 798/445?

Answer: LCM of Numerators as per given numbers 78/867, 545/88, 798/445 is

LCM of Numerators i.e. for 78,545,798 is 5653830

GCF of denominators i.e. for 867,88,445 is 1.

Thus, LCM of Fractions is 5653830.Finally, LCM of Fractions for 78/867, 545/88, 798/445 is 5653830.