Least Common Multiple of 97/35, 83/15, 508/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/35, 83/15, 508/462 quickly i.e. 4089908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/35, 83/15, 508/462 is 4089908.

LCM(97/35, 83/15, 508/462) = 4089908

LCM of 97/35, 83/15, 508/462

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 97/35,83/15,508/462

Given numbers are 97/35,83/15,508/462

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 97,83,508

Least Common Multiple of Numerators i.e. LCM of 97,83,508 is 4089908.

GCF of Denominators means GCF of 35,15,462 as per the given fractions.

GCF of 35,15,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,83,508

LCM of Fractions 97/35,83/15,508/462 is 4089908

Given numbers has no common factors except 1. So, there LCM is their product i.e 4089908

Least Common Multiple of 97,83,508 with GCF Formula

Least Common Multiple of 97,83,508 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 97,83,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,83,508) = 1

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

GCF(97,83,508) x common factors =1 x 1 = 1

LCM(97,83,508) = ( 97 × 83 × 508 ) / 1

LCM(97,83,508) = 4089908 / 1

LCM(97,83,508) = 4089908


Lets's calculate GCF of 35,15,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4089908/1

Therefore the LCM of Fractions 97/35,83/15,508/462 is 4089908

Greatest Common Factor of 35,15,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,15,462 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 35,15,462 . The biggest common factor number is the GCF number.
So the greatest common factor 35,15,462 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 97/35, 83/15, 508/462

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 97/35, 83/15, 508/462?

Answer: LCM of Numerators as per given numbers 97/35, 83/15, 508/462 is

LCM of Numerators i.e. for 97,83,508 is 4089908

GCF of denominators i.e. for 35,15,462 is 1.

Thus, LCM of Fractions is 4089908.Finally, LCM of Fractions for 97/35, 83/15, 508/462 is 4089908.