Least Common Multiple of 3496/490, 9329/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3496/490, 9329/974 quickly i.e. 858268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3496/490, 9329/974 is 858268.

LCM(3496/490, 9329/974) = 858268

LCM of 3496/490, 9329/974

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 3496/490,9329/974

Given numbers are 3496/490,9329/974

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 3496,9329

Least Common Multiple of Numerators i.e. LCM of 3496,9329 is 1716536.

GCF of Denominators means GCF of 490,974 as per the given fractions.

GCF of 490,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3496,9329

LCM of Fractions 3496/490,9329/974 is 858268

19 3496, 9329
184, 491

∴ So the LCM of the given numbers is 19 x 184 x 491 = 1716536

Least Common Multiple of 3496,9329 with GCF Formula

Least Common Multiple of 3496,9329 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 3496,9329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3496,9329) = 19

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

GCF(3496,9329) x common factors =19 x 1 = 19

LCM(3496,9329) = ( 3496 × 9329 ) / 19

LCM(3496,9329) = 32614184 / 19

LCM(3496,9329) = 1716536


Lets's calculate GCF of 490,974

2 490, 974
245, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1716536/2

Therefore the LCM of Fractions 3496/490,9329/974 is 858268

Greatest Common Factor of 490,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,974 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 974

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

1,2,487,974

Greatest Common Factor

We found the factors 490,974 . The biggest common factor number is the GCF number.
So the greatest common factor 490,974 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 3496/490, 9329/974

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 3496/490, 9329/974?

Answer: LCM of Numerators as per given numbers 3496/490, 9329/974 is

LCM of Numerators i.e. for 3496,9329 is 1716536

GCF of denominators i.e. for 490,974 is 2.

Thus, LCM of Fractions is 858268.Finally, LCM of Fractions for 3496/490, 9329/974 is 858268.