Least Common Multiple of 3469/106, 4699/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3469/106, 4699/742 quickly i.e. 16300831/106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3469/106, 4699/742 is 16300831/106.

LCM(3469/106, 4699/742) = 16300831/106

LCM of 3469/106, 4699/742

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 3469/106,4699/742

Given numbers are 3469/106,4699/742

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 3469,4699

Least Common Multiple of Numerators i.e. LCM of 3469,4699 is 16300831.

GCF of Denominators means GCF of 106,742 as per the given fractions.

GCF of 106,742 is 106 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3469,4699

LCM of Fractions 3469/106,4699/742 is 16300831/106

Given numbers has no common factors except 1. So, there LCM is their product i.e 16300831

Least Common Multiple of 3469,4699 with GCF Formula

Least Common Multiple of 3469,4699 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 3469,4699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3469,4699) = 1

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

GCF(3469,4699) x common factors =1 x 1 = 1

LCM(3469,4699) = ( 3469 × 4699 ) / 1

LCM(3469,4699) = 16300831 / 1

LCM(3469,4699) = 16300831


Lets's calculate GCF of 106,742

2 106, 742
53 53, 371
1, 7

∴ So the GCF of the given numbers is 2 x 53 = 106

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16300831/106

Therefore the LCM of Fractions 3469/106,4699/742 is 16300831/106

Greatest Common Factor of 106,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,742 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 106,742 . The biggest common factor number is the GCF number.
So the greatest common factor 106,742 is 106.


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 3469/106, 4699/742

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 3469/106, 4699/742?

Answer: LCM of Numerators as per given numbers 3469/106, 4699/742 is

LCM of Numerators i.e. for 3469,4699 is 16300831

GCF of denominators i.e. for 106,742 is 106.

Thus, LCM of Fractions is 16300831/106.Finally, LCM of Fractions for 3469/106, 4699/742 is 16300831/106.