Least Common Multiple of 380/86, 116/1796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/86, 116/1796 quickly i.e. 5510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/86, 116/1796 is 5510.

LCM(380/86, 116/1796) = 5510

LCM of 380/86, 116/1796

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 380/86,116/1796

Given numbers are 380/86,116/1796

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 380,116

Least Common Multiple of Numerators i.e. LCM of 380,116 is 11020.

GCF of Denominators means GCF of 86,1796 as per the given fractions.

GCF of 86,1796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,116

LCM of Fractions 380/86,116/1796 is 5510

2 380, 116
2 190, 58
95, 29

∴ So the LCM of the given numbers is 2 x 2 x 95 x 29 = 11020

Least Common Multiple of 380,116 with GCF Formula

Least Common Multiple of 380,116 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 380,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,116) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(380,116) x common factors =4 x 1 = 4

LCM(380,116) = ( 380 × 116 ) / 4

LCM(380,116) = 44080 / 4

LCM(380,116) = 11020


Lets's calculate GCF of 86,1796

2 86, 1796
43, 898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11020/2

Therefore the LCM of Fractions 380/86,116/1796 is 5510

Greatest Common Factor of 86,1796 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,1796 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 1796

List of positive integer factors of 1796 that divides 1796 without a remainder.

1,2,4,449,898,1796

Greatest Common Factor

We found the factors 86,1796 . The biggest common factor number is the GCF number.
So the greatest common factor 86,1796 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 380/86, 116/1796

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 380/86, 116/1796?

Answer: LCM of Numerators as per given numbers 380/86, 116/1796 is

LCM of Numerators i.e. for 380,116 is 11020

GCF of denominators i.e. for 86,1796 is 2.

Thus, LCM of Fractions is 5510.Finally, LCM of Fractions for 380/86, 116/1796 is 5510.