Least Common Multiple of 61/547, 689/361, 507/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/547, 689/361, 507/449 quickly i.e. 1639131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/547, 689/361, 507/449 is 1639131.

LCM(61/547, 689/361, 507/449) = 1639131

LCM of 61/547, 689/361, 507/449

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 61/547,689/361,507/449

Given numbers are 61/547,689/361,507/449

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 61,689,507

Least Common Multiple of Numerators i.e. LCM of 61,689,507 is 1639131.

GCF of Denominators means GCF of 547,361,449 as per the given fractions.

GCF of 547,361,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,689,507

LCM of Fractions 61/547,689/361,507/449 is 1639131

13 61, 689, 507
61, 53, 39

∴ So the LCM of the given numbers is 13 x 61 x 53 x 39 = 1639131

Least Common Multiple of 61,689,507 with GCF Formula

Least Common Multiple of 61,689,507 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 61,689,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,689,507) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(61,689,507) x common factors =1 x 13 = 13

LCM(61,689,507) = ( 61 × 689 × 507 ) / 13

LCM(61,689,507) = 21308703 / 13

LCM(61,689,507) = 1639131


Lets's calculate GCF of 547,361,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1639131/1

Therefore the LCM of Fractions 61/547,689/361,507/449 is 1639131

Greatest Common Factor of 547,361,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,361,449 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 547,361,449 . The biggest common factor number is the GCF number.
So the greatest common factor 547,361,449 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 61/547, 689/361, 507/449

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 61/547, 689/361, 507/449?

Answer: LCM of Numerators as per given numbers 61/547, 689/361, 507/449 is

LCM of Numerators i.e. for 61,689,507 is 1639131

GCF of denominators i.e. for 547,361,449 is 1.

Thus, LCM of Fractions is 1639131.Finally, LCM of Fractions for 61/547, 689/361, 507/449 is 1639131.