Least Common Multiple of 349/974, 9032/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/974, 9032/828 quickly i.e. 1576084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/974, 9032/828 is 1576084.

LCM(349/974, 9032/828) = 1576084

LCM of 349/974, 9032/828

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 349/974,9032/828

Given numbers are 349/974,9032/828

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 349,9032

Least Common Multiple of Numerators i.e. LCM of 349,9032 is 3152168.

GCF of Denominators means GCF of 974,828 as per the given fractions.

GCF of 974,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,9032

LCM of Fractions 349/974,9032/828 is 1576084

Given numbers has no common factors except 1. So, there LCM is their product i.e 3152168

Least Common Multiple of 349,9032 with GCF Formula

Least Common Multiple of 349,9032 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 349,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,9032) = 1

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

GCF(349,9032) x common factors =1 x 1 = 1

LCM(349,9032) = ( 349 × 9032 ) / 1

LCM(349,9032) = 3152168 / 1

LCM(349,9032) = 3152168


Lets's calculate GCF of 974,828

2 974, 828
487, 414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3152168/2

Therefore the LCM of Fractions 349/974,9032/828 is 1576084

Greatest Common Factor of 974,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,828 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 974,828 . The biggest common factor number is the GCF number.
So the greatest common factor 974,828 is 2.


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 349/974, 9032/828

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 349/974, 9032/828?

Answer: LCM of Numerators as per given numbers 349/974, 9032/828 is

LCM of Numerators i.e. for 349,9032 is 3152168

GCF of denominators i.e. for 974,828 is 2.

Thus, LCM of Fractions is 1576084.Finally, LCM of Fractions for 349/974, 9032/828 is 1576084.