Least Common Multiple of 836/31, 416/45, 414/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 836/31, 416/45, 414/50 quickly i.e. 17997408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/31, 416/45, 414/50 is 17997408.

LCM(836/31, 416/45, 414/50) = 17997408

LCM of 836/31, 416/45, 414/50

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 836/31,416/45,414/50

Given numbers are 836/31,416/45,414/50

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 836,416,414

Least Common Multiple of Numerators i.e. LCM of 836,416,414 is 17997408.

GCF of Denominators means GCF of 31,45,50 as per the given fractions.

GCF of 31,45,50 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,416,414

LCM of Fractions 836/31,416/45,414/50 is 17997408

2 836, 416, 414
2 418, 208, 207
209, 104, 207

∴ So the LCM of the given numbers is 2 x 2 x 209 x 104 x 207 = 17997408

Least Common Multiple of 836,416,414 with GCF Formula

Least Common Multiple of 836,416,414 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 836,416,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,416,414) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(836,416,414) x common factors =2 x 4 = 8

LCM(836,416,414) = ( 836 × 416 × 414 ) / 8

LCM(836,416,414) = 143979264 / 8

LCM(836,416,414) = 17997408


Lets's calculate GCF of 31,45,50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17997408/1

Therefore the LCM of Fractions 836/31,416/45,414/50 is 17997408

Greatest Common Factor of 31,45,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,45,50 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 50

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

1,2,5,10,25,50

Greatest Common Factor

We found the factors 31,45,50 . The biggest common factor number is the GCF number.
So the greatest common factor 31,45,50 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 836/31, 416/45, 414/50

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 836/31, 416/45, 414/50?

Answer: LCM of Numerators as per given numbers 836/31, 416/45, 414/50 is

LCM of Numerators i.e. for 836,416,414 is 17997408

GCF of denominators i.e. for 31,45,50 is 1.

Thus, LCM of Fractions is 17997408.Finally, LCM of Fractions for 836/31, 416/45, 414/50 is 17997408.