Least Common Multiple of 98/163, 91/506, 962/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/163, 91/506, 962/493 quickly i.e. 47138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/163, 91/506, 962/493 is 47138.

LCM(98/163, 91/506, 962/493) = 47138

LCM of 98/163, 91/506, 962/493

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 98/163,91/506,962/493

Given numbers are 98/163,91/506,962/493

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 98,91,962

Least Common Multiple of Numerators i.e. LCM of 98,91,962 is 47138.

GCF of Denominators means GCF of 163,506,493 as per the given fractions.

GCF of 163,506,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,91,962

LCM of Fractions 98/163,91/506,962/493 is 47138

2 98, 91, 962
7 49, 91, 481
13 7, 13, 481
7, 1, 37

∴ So the LCM of the given numbers is 2 x 7 x 13 x 7 x 1 x 37 = 47138

Least Common Multiple of 98,91,962 with GCF Formula

Least Common Multiple of 98,91,962 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 98,91,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,91,962) = 1

common factors(in case of two or more numbers have common factors) = 182

GCF(98,91,962) x common factors =1 x 182 = 182

LCM(98,91,962) = ( 98 × 91 × 962 ) / 182

LCM(98,91,962) = 8579116 / 182

LCM(98,91,962) = 47138


Lets's calculate GCF of 163,506,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47138/1

Therefore the LCM of Fractions 98/163,91/506,962/493 is 47138

Greatest Common Factor of 163,506,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,506,493 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 163,506,493 . The biggest common factor number is the GCF number.
So the greatest common factor 163,506,493 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 98/163, 91/506, 962/493

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 98/163, 91/506, 962/493?

Answer: LCM of Numerators as per given numbers 98/163, 91/506, 962/493 is

LCM of Numerators i.e. for 98,91,962 is 47138

GCF of denominators i.e. for 163,506,493 is 1.

Thus, LCM of Fractions is 47138.Finally, LCM of Fractions for 98/163, 91/506, 962/493 is 47138.