Least Common Multiple of 49/479, 57/689, 549/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/479, 57/689, 549/464 quickly i.e. 511119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/479, 57/689, 549/464 is 511119.

LCM(49/479, 57/689, 549/464) = 511119

LCM of 49/479, 57/689, 549/464

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 49/479,57/689,549/464

Given numbers are 49/479,57/689,549/464

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 49,57,549

Least Common Multiple of Numerators i.e. LCM of 49,57,549 is 511119.

GCF of Denominators means GCF of 479,689,464 as per the given fractions.

GCF of 479,689,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,57,549

LCM of Fractions 49/479,57/689,549/464 is 511119

3 49, 57, 549
49, 19, 183

∴ So the LCM of the given numbers is 3 x 49 x 19 x 183 = 511119

Least Common Multiple of 49,57,549 with GCF Formula

Least Common Multiple of 49,57,549 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 49,57,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,57,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(49,57,549) x common factors =1 x 3 = 3

LCM(49,57,549) = ( 49 × 57 × 549 ) / 3

LCM(49,57,549) = 1533357 / 3

LCM(49,57,549) = 511119


Lets's calculate GCF of 479,689,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511119/1

Therefore the LCM of Fractions 49/479,57/689,549/464 is 511119

Greatest Common Factor of 479,689,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,689,464 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 479,689,464 . The biggest common factor number is the GCF number.
So the greatest common factor 479,689,464 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 49/479, 57/689, 549/464

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 49/479, 57/689, 549/464?

Answer: LCM of Numerators as per given numbers 49/479, 57/689, 549/464 is

LCM of Numerators i.e. for 49,57,549 is 511119

GCF of denominators i.e. for 479,689,464 is 1.

Thus, LCM of Fractions is 511119.Finally, LCM of Fractions for 49/479, 57/689, 549/464 is 511119.