Least Common Multiple of 3472/349, 6200/5445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3472/349, 6200/5445 quickly i.e. 86800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3472/349, 6200/5445 is 86800.

LCM(3472/349, 6200/5445) = 86800

LCM of 3472/349, 6200/5445

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 3472/349,6200/5445

Given numbers are 3472/349,6200/5445

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 3472,6200

Least Common Multiple of Numerators i.e. LCM of 3472,6200 is 86800.

GCF of Denominators means GCF of 349,5445 as per the given fractions.

GCF of 349,5445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3472,6200

LCM of Fractions 3472/349,6200/5445 is 86800

2 3472, 6200
2 1736, 3100
2 868, 1550
31 434, 775
14, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 14 x 25 = 86800

Least Common Multiple of 3472,6200 with GCF Formula

Least Common Multiple of 3472,6200 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 3472,6200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3472,6200) = 248

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

GCF(3472,6200) x common factors =248 x 1 = 248

LCM(3472,6200) = ( 3472 × 6200 ) / 248

LCM(3472,6200) = 21526400 / 248

LCM(3472,6200) = 86800


Lets's calculate GCF of 349,5445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86800/1

Therefore the LCM of Fractions 3472/349,6200/5445 is 86800

Greatest Common Factor of 349,5445 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,5445 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445

Greatest Common Factor

We found the factors 349,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 349,5445 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 3472/349, 6200/5445

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 3472/349, 6200/5445?

Answer: LCM of Numerators as per given numbers 3472/349, 6200/5445 is

LCM of Numerators i.e. for 3472,6200 is 86800

GCF of denominators i.e. for 349,5445 is 1.

Thus, LCM of Fractions is 86800.Finally, LCM of Fractions for 3472/349, 6200/5445 is 86800.