Least Common Multiple of 68/220, 46/945, 973/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/220, 46/945, 973/923 quickly i.e. 1521772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/220, 46/945, 973/923 is 1521772.

LCM(68/220, 46/945, 973/923) = 1521772

LCM of 68/220, 46/945, 973/923

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 68/220,46/945,973/923

Given numbers are 68/220,46/945,973/923

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 68,46,973

Least Common Multiple of Numerators i.e. LCM of 68,46,973 is 1521772.

GCF of Denominators means GCF of 220,945,923 as per the given fractions.

GCF of 220,945,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,46,973

LCM of Fractions 68/220,46/945,973/923 is 1521772

2 68, 46, 973
34, 23, 973

∴ So the LCM of the given numbers is 2 x 34 x 23 x 973 = 1521772

Least Common Multiple of 68,46,973 with GCF Formula

Least Common Multiple of 68,46,973 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 68,46,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,46,973) = 1

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

GCF(68,46,973) x common factors =1 x 2 = 2

LCM(68,46,973) = ( 68 × 46 × 973 ) / 2

LCM(68,46,973) = 3043544 / 2

LCM(68,46,973) = 1521772


Lets's calculate GCF of 220,945,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1521772/1

Therefore the LCM of Fractions 68/220,46/945,973/923 is 1521772

Greatest Common Factor of 220,945,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,945,923 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 220,945,923 . The biggest common factor number is the GCF number.
So the greatest common factor 220,945,923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/220, 46/945, 973/923

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 68/220, 46/945, 973/923?

Answer: LCM of Numerators as per given numbers 68/220, 46/945, 973/923 is

LCM of Numerators i.e. for 68,46,973 is 1521772

GCF of denominators i.e. for 220,945,923 is 1.

Thus, LCM of Fractions is 1521772.Finally, LCM of Fractions for 68/220, 46/945, 973/923 is 1521772.