Least Common Multiple of 973/200, 914/260, 693/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 973/200, 914/260, 693/954 quickly i.e. 44021439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/200, 914/260, 693/954 is 44021439.

LCM(973/200, 914/260, 693/954) = 44021439

LCM of 973/200, 914/260, 693/954

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 973/200,914/260,693/954

Given numbers are 973/200,914/260,693/954

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 973,914,693

Least Common Multiple of Numerators i.e. LCM of 973,914,693 is 88042878.

GCF of Denominators means GCF of 200,260,954 as per the given fractions.

GCF of 200,260,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,914,693

LCM of Fractions 973/200,914/260,693/954 is 44021439

7 973, 914, 693
139, 914, 99

∴ So the LCM of the given numbers is 7 x 139 x 914 x 99 = 88042878

Least Common Multiple of 973,914,693 with GCF Formula

Least Common Multiple of 973,914,693 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 973,914,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,914,693) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(973,914,693) x common factors =1 x 7 = 7

LCM(973,914,693) = ( 973 × 914 × 693 ) / 7

LCM(973,914,693) = 616300146 / 7

LCM(973,914,693) = 88042878


Lets's calculate GCF of 200,260,954

2 200, 260, 954
100, 130, 477

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88042878/2

Therefore the LCM of Fractions 973/200,914/260,693/954 is 44021439

Greatest Common Factor of 200,260,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,260,954 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 200,260,954 . The biggest common factor number is the GCF number.
So the greatest common factor 200,260,954 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 973/200, 914/260, 693/954

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 973/200, 914/260, 693/954?

Answer: LCM of Numerators as per given numbers 973/200, 914/260, 693/954 is

LCM of Numerators i.e. for 973,914,693 is 88042878

GCF of denominators i.e. for 200,260,954 is 2.

Thus, LCM of Fractions is 44021439.Finally, LCM of Fractions for 973/200, 914/260, 693/954 is 44021439.