Least Common Multiple of 97/499, 29/652, 547/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/499, 29/652, 547/284 quickly i.e. 1538711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/499, 29/652, 547/284 is 1538711.

LCM(97/499, 29/652, 547/284) = 1538711

LCM of 97/499, 29/652, 547/284

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 97/499,29/652,547/284

Given numbers are 97/499,29/652,547/284

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 97,29,547

Least Common Multiple of Numerators i.e. LCM of 97,29,547 is 1538711.

GCF of Denominators means GCF of 499,652,284 as per the given fractions.

GCF of 499,652,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,29,547

LCM of Fractions 97/499,29/652,547/284 is 1538711

Given numbers has no common factors except 1. So, there LCM is their product i.e 1538711

Least Common Multiple of 97,29,547 with GCF Formula

Least Common Multiple of 97,29,547 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 97,29,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,29,547) = 1

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

GCF(97,29,547) x common factors =1 x 1 = 1

LCM(97,29,547) = ( 97 × 29 × 547 ) / 1

LCM(97,29,547) = 1538711 / 1

LCM(97,29,547) = 1538711


Lets's calculate GCF of 499,652,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1538711/1

Therefore the LCM of Fractions 97/499,29/652,547/284 is 1538711

Greatest Common Factor of 499,652,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,652,284 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 499,652,284 . The biggest common factor number is the GCF number.
So the greatest common factor 499,652,284 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/499, 29/652, 547/284

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 97/499, 29/652, 547/284?

Answer: LCM of Numerators as per given numbers 97/499, 29/652, 547/284 is

LCM of Numerators i.e. for 97,29,547 is 1538711

GCF of denominators i.e. for 499,652,284 is 1.

Thus, LCM of Fractions is 1538711.Finally, LCM of Fractions for 97/499, 29/652, 547/284 is 1538711.