Least Common Multiple of 97/984, 77/212, 163/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/984, 77/212, 163/645 quickly i.e. 1217447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/984, 77/212, 163/645 is 1217447.

LCM(97/984, 77/212, 163/645) = 1217447

LCM of 97/984, 77/212, 163/645

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 97/984,77/212,163/645

Given numbers are 97/984,77/212,163/645

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 97,77,163

Least Common Multiple of Numerators i.e. LCM of 97,77,163 is 1217447.

GCF of Denominators means GCF of 984,212,645 as per the given fractions.

GCF of 984,212,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,77,163

LCM of Fractions 97/984,77/212,163/645 is 1217447

Given numbers has no common factors except 1. So, there LCM is their product i.e 1217447

Least Common Multiple of 97,77,163 with GCF Formula

Least Common Multiple of 97,77,163 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 97,77,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,77,163) = 1

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

GCF(97,77,163) x common factors =1 x 1 = 1

LCM(97,77,163) = ( 97 × 77 × 163 ) / 1

LCM(97,77,163) = 1217447 / 1

LCM(97,77,163) = 1217447


Lets's calculate GCF of 984,212,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1217447/1

Therefore the LCM of Fractions 97/984,77/212,163/645 is 1217447

Greatest Common Factor of 984,212,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,212,645 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 984,212,645 . The biggest common factor number is the GCF number.
So the greatest common factor 984,212,645 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/984, 77/212, 163/645

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 97/984, 77/212, 163/645?

Answer: LCM of Numerators as per given numbers 97/984, 77/212, 163/645 is

LCM of Numerators i.e. for 97,77,163 is 1217447

GCF of denominators i.e. for 984,212,645 is 1.

Thus, LCM of Fractions is 1217447.Finally, LCM of Fractions for 97/984, 77/212, 163/645 is 1217447.