Least Common Multiple of 315/46, 549/22, 704/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/46, 549/22, 704/822 quickly i.e. 6763680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/46, 549/22, 704/822 is 6763680.

LCM(315/46, 549/22, 704/822) = 6763680

LCM of 315/46, 549/22, 704/822

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 315/46,549/22,704/822

Given numbers are 315/46,549/22,704/822

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 315,549,704

Least Common Multiple of Numerators i.e. LCM of 315,549,704 is 13527360.

GCF of Denominators means GCF of 46,22,822 as per the given fractions.

GCF of 46,22,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,549,704

LCM of Fractions 315/46,549/22,704/822 is 6763680

3 315, 549, 704
3 105, 183, 704
35, 61, 704

∴ So the LCM of the given numbers is 3 x 3 x 35 x 61 x 704 = 13527360

Least Common Multiple of 315,549,704 with GCF Formula

Least Common Multiple of 315,549,704 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 315,549,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,549,704) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(315,549,704) x common factors =1 x 9 = 9

LCM(315,549,704) = ( 315 × 549 × 704 ) / 9

LCM(315,549,704) = 121746240 / 9

LCM(315,549,704) = 13527360


Lets's calculate GCF of 46,22,822

2 46, 22, 822
23, 11, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13527360/2

Therefore the LCM of Fractions 315/46,549/22,704/822 is 6763680

Greatest Common Factor of 46,22,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,22,822 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 46,22,822 . The biggest common factor number is the GCF number.
So the greatest common factor 46,22,822 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 315/46, 549/22, 704/822

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 315/46, 549/22, 704/822?

Answer: LCM of Numerators as per given numbers 315/46, 549/22, 704/822 is

LCM of Numerators i.e. for 315,549,704 is 13527360

GCF of denominators i.e. for 46,22,822 is 2.

Thus, LCM of Fractions is 6763680.Finally, LCM of Fractions for 315/46, 549/22, 704/822 is 6763680.