Least Common Multiple of 122/73, 645/10, 754/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 122/73, 645/10, 754/858 quickly i.e. 29666130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/73, 645/10, 754/858 is 29666130.

LCM(122/73, 645/10, 754/858) = 29666130

LCM of 122/73, 645/10, 754/858

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 122/73,645/10,754/858

Given numbers are 122/73,645/10,754/858

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 122,645,754

Least Common Multiple of Numerators i.e. LCM of 122,645,754 is 29666130.

GCF of Denominators means GCF of 73,10,858 as per the given fractions.

GCF of 73,10,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,645,754

LCM of Fractions 122/73,645/10,754/858 is 29666130

2 122, 645, 754
61, 645, 377

∴ So the LCM of the given numbers is 2 x 61 x 645 x 377 = 29666130

Least Common Multiple of 122,645,754 with GCF Formula

Least Common Multiple of 122,645,754 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 122,645,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,645,754) = 1

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

GCF(122,645,754) x common factors =1 x 2 = 2

LCM(122,645,754) = ( 122 × 645 × 754 ) / 2

LCM(122,645,754) = 59332260 / 2

LCM(122,645,754) = 29666130


Lets's calculate GCF of 73,10,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29666130/1

Therefore the LCM of Fractions 122/73,645/10,754/858 is 29666130

Greatest Common Factor of 73,10,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,10,858 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 73,10,858 . The biggest common factor number is the GCF number.
So the greatest common factor 73,10,858 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 122/73, 645/10, 754/858

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 122/73, 645/10, 754/858?

Answer: LCM of Numerators as per given numbers 122/73, 645/10, 754/858 is

LCM of Numerators i.e. for 122,645,754 is 29666130

GCF of denominators i.e. for 73,10,858 is 1.

Thus, LCM of Fractions is 29666130.Finally, LCM of Fractions for 122/73, 645/10, 754/858 is 29666130.