Least Common Multiple of 84/897, 50/332, 106/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/897, 50/332, 106/510 quickly i.e. 111300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/897, 50/332, 106/510 is 111300.

LCM(84/897, 50/332, 106/510) = 111300

LCM of 84/897, 50/332, 106/510

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 84/897,50/332,106/510

Given numbers are 84/897,50/332,106/510

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 84,50,106

Least Common Multiple of Numerators i.e. LCM of 84,50,106 is 111300.

GCF of Denominators means GCF of 897,332,510 as per the given fractions.

GCF of 897,332,510 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,50,106

LCM of Fractions 84/897,50/332,106/510 is 111300

2 84, 50, 106
42, 25, 53

∴ So the LCM of the given numbers is 2 x 42 x 25 x 53 = 111300

Least Common Multiple of 84,50,106 with GCF Formula

Least Common Multiple of 84,50,106 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 84,50,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,50,106) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(84,50,106) x common factors =2 x 2 = 4

LCM(84,50,106) = ( 84 × 50 × 106 ) / 4

LCM(84,50,106) = 445200 / 4

LCM(84,50,106) = 111300


Lets's calculate GCF of 897,332,510

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111300/1

Therefore the LCM of Fractions 84/897,50/332,106/510 is 111300

Greatest Common Factor of 897,332,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,332,510 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 897,332,510 . The biggest common factor number is the GCF number.
So the greatest common factor 897,332,510 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/897, 50/332, 106/510

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 84/897, 50/332, 106/510?

Answer: LCM of Numerators as per given numbers 84/897, 50/332, 106/510 is

LCM of Numerators i.e. for 84,50,106 is 111300

GCF of denominators i.e. for 897,332,510 is 1.

Thus, LCM of Fractions is 111300.Finally, LCM of Fractions for 84/897, 50/332, 106/510 is 111300.