Least Common Multiple of 49/533, 62/285, 630/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/533, 62/285, 630/347 quickly i.e. 136710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/533, 62/285, 630/347 is 136710.

LCM(49/533, 62/285, 630/347) = 136710

LCM of 49/533, 62/285, 630/347

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 49/533,62/285,630/347

Given numbers are 49/533,62/285,630/347

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 49,62,630

Least Common Multiple of Numerators i.e. LCM of 49,62,630 is 136710.

GCF of Denominators means GCF of 533,285,347 as per the given fractions.

GCF of 533,285,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,62,630

LCM of Fractions 49/533,62/285,630/347 is 136710

2 49, 62, 630
7 49, 31, 315
7, 31, 45

∴ So the LCM of the given numbers is 2 x 7 x 7 x 31 x 45 = 136710

Least Common Multiple of 49,62,630 with GCF Formula

Least Common Multiple of 49,62,630 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 49,62,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,62,630) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(49,62,630) x common factors =1 x 14 = 14

LCM(49,62,630) = ( 49 × 62 × 630 ) / 14

LCM(49,62,630) = 1913940 / 14

LCM(49,62,630) = 136710


Lets's calculate GCF of 533,285,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136710/1

Therefore the LCM of Fractions 49/533,62/285,630/347 is 136710

Greatest Common Factor of 533,285,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,285,347 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 533,285,347 . The biggest common factor number is the GCF number.
So the greatest common factor 533,285,347 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 49/533, 62/285, 630/347

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 49/533, 62/285, 630/347?

Answer: LCM of Numerators as per given numbers 49/533, 62/285, 630/347 is

LCM of Numerators i.e. for 49,62,630 is 136710

GCF of denominators i.e. for 533,285,347 is 1.

Thus, LCM of Fractions is 136710.Finally, LCM of Fractions for 49/533, 62/285, 630/347 is 136710.