Least Common Multiple of 3104/112, 4350/1629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3104/112, 4350/1629 quickly i.e. 6751200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3104/112, 4350/1629 is 6751200.

LCM(3104/112, 4350/1629) = 6751200

LCM of 3104/112, 4350/1629

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 3104/112,4350/1629

Given numbers are 3104/112,4350/1629

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 3104,4350

Least Common Multiple of Numerators i.e. LCM of 3104,4350 is 6751200.

GCF of Denominators means GCF of 112,1629 as per the given fractions.

GCF of 112,1629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3104,4350

LCM of Fractions 3104/112,4350/1629 is 6751200

2 3104, 4350
1552, 2175

∴ So the LCM of the given numbers is 2 x 1552 x 2175 = 6751200

Least Common Multiple of 3104,4350 with GCF Formula

Least Common Multiple of 3104,4350 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 3104,4350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3104,4350) = 2

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

GCF(3104,4350) x common factors =2 x 1 = 2

LCM(3104,4350) = ( 3104 × 4350 ) / 2

LCM(3104,4350) = 13502400 / 2

LCM(3104,4350) = 6751200


Lets's calculate GCF of 112,1629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6751200/1

Therefore the LCM of Fractions 3104/112,4350/1629 is 6751200

Greatest Common Factor of 112,1629 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,1629 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1,3,9,181,543,1629

Greatest Common Factor

We found the factors 112,1629 . The biggest common factor number is the GCF number.
So the greatest common factor 112,1629 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 3104/112, 4350/1629

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 3104/112, 4350/1629?

Answer: LCM of Numerators as per given numbers 3104/112, 4350/1629 is

LCM of Numerators i.e. for 3104,4350 is 6751200

GCF of denominators i.e. for 112,1629 is 1.

Thus, LCM of Fractions is 6751200.Finally, LCM of Fractions for 3104/112, 4350/1629 is 6751200.