Least Common Multiple of 83/348, 6382/8816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/348, 6382/8816 quickly i.e. 529706/116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/348, 6382/8816 is 529706/116.

LCM(83/348, 6382/8816) = 529706/116

LCM of 83/348, 6382/8816

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 83/348,6382/8816

Given numbers are 83/348,6382/8816

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 83,6382

Least Common Multiple of Numerators i.e. LCM of 83,6382 is 529706.

GCF of Denominators means GCF of 348,8816 as per the given fractions.

GCF of 348,8816 is 116 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,6382

LCM of Fractions 83/348,6382/8816 is 529706/116

Given numbers has no common factors except 1. So, there LCM is their product i.e 529706

Least Common Multiple of 83,6382 with GCF Formula

Least Common Multiple of 83,6382 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 83,6382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,6382) = 1

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

GCF(83,6382) x common factors =1 x 1 = 1

LCM(83,6382) = ( 83 × 6382 ) / 1

LCM(83,6382) = 529706 / 1

LCM(83,6382) = 529706


Lets's calculate GCF of 348,8816

2 348, 8816
2 174, 4408
29 87, 2204
3, 76

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529706/116

Therefore the LCM of Fractions 83/348,6382/8816 is 529706/116

Greatest Common Factor of 348,8816 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,8816 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors 348,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 348,8816 is 116.


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 83/348, 6382/8816

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 83/348, 6382/8816?

Answer: LCM of Numerators as per given numbers 83/348, 6382/8816 is

LCM of Numerators i.e. for 83,6382 is 529706

GCF of denominators i.e. for 348,8816 is 116.

Thus, LCM of Fractions is 529706/116.Finally, LCM of Fractions for 83/348, 6382/8816 is 529706/116.