Least Common Multiple of 2834/736, 3523/8200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2834/736, 3523/8200 quickly i.e. 768014/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2834/736, 3523/8200 is 768014/8.

LCM(2834/736, 3523/8200) = 768014/8

LCM of 2834/736, 3523/8200

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 2834/736,3523/8200

Given numbers are 2834/736,3523/8200

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 2834,3523

Least Common Multiple of Numerators i.e. LCM of 2834,3523 is 768014.

GCF of Denominators means GCF of 736,8200 as per the given fractions.

GCF of 736,8200 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2834,3523

LCM of Fractions 2834/736,3523/8200 is 768014/8

13 2834, 3523
218, 271

∴ So the LCM of the given numbers is 13 x 218 x 271 = 768014

Least Common Multiple of 2834,3523 with GCF Formula

Least Common Multiple of 2834,3523 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 2834,3523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2834,3523) = 13

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

GCF(2834,3523) x common factors =13 x 1 = 13

LCM(2834,3523) = ( 2834 × 3523 ) / 13

LCM(2834,3523) = 9984182 / 13

LCM(2834,3523) = 768014


Lets's calculate GCF of 736,8200

2 736, 8200
2 368, 4100
2 184, 2050
92, 1025

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768014/8

Therefore the LCM of Fractions 2834/736,3523/8200 is 768014/8

Greatest Common Factor of 736,8200 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,8200 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Greatest Common Factor

We found the factors 736,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 736,8200 is 8.


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 2834/736, 3523/8200

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 2834/736, 3523/8200?

Answer: LCM of Numerators as per given numbers 2834/736, 3523/8200 is

LCM of Numerators i.e. for 2834,3523 is 768014

GCF of denominators i.e. for 736,8200 is 8.

Thus, LCM of Fractions is 768014/8.Finally, LCM of Fractions for 2834/736, 3523/8200 is 768014/8.