Least Common Multiple of 814/50, 111/78, 456/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/50, 111/78, 456/158 quickly i.e. 92796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/50, 111/78, 456/158 is 92796.

LCM(814/50, 111/78, 456/158) = 92796

LCM of 814/50, 111/78, 456/158

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 814/50,111/78,456/158

Given numbers are 814/50,111/78,456/158

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 814,111,456

Least Common Multiple of Numerators i.e. LCM of 814,111,456 is 185592.

GCF of Denominators means GCF of 50,78,158 as per the given fractions.

GCF of 50,78,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,111,456

LCM of Fractions 814/50,111/78,456/158 is 92796

2 814, 111, 456
3 407, 111, 228
37 407, 37, 76
11, 1, 76

∴ So the LCM of the given numbers is 2 x 3 x 37 x 11 x 1 x 76 = 185592

Least Common Multiple of 814,111,456 with GCF Formula

Least Common Multiple of 814,111,456 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 814,111,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,111,456) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(814,111,456) x common factors =1 x 222 = 222

LCM(814,111,456) = ( 814 × 111 × 456 ) / 222

LCM(814,111,456) = 41201424 / 222

LCM(814,111,456) = 185592


Lets's calculate GCF of 50,78,158

2 50, 78, 158
25, 39, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185592/2

Therefore the LCM of Fractions 814/50,111/78,456/158 is 92796

Greatest Common Factor of 50,78,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,78,158 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 50,78,158 . The biggest common factor number is the GCF number.
So the greatest common factor 50,78,158 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 814/50, 111/78, 456/158

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 814/50, 111/78, 456/158?

Answer: LCM of Numerators as per given numbers 814/50, 111/78, 456/158 is

LCM of Numerators i.e. for 814,111,456 is 185592

GCF of denominators i.e. for 50,78,158 is 2.

Thus, LCM of Fractions is 92796.Finally, LCM of Fractions for 814/50, 111/78, 456/158 is 92796.