Least Common Multiple of 73/857, 293/629, 362/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/857, 293/629, 362/451 quickly i.e. 7742818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/857, 293/629, 362/451 is 7742818.

LCM(73/857, 293/629, 362/451) = 7742818

LCM of 73/857, 293/629, 362/451

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 73/857,293/629,362/451

Given numbers are 73/857,293/629,362/451

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 73,293,362

Least Common Multiple of Numerators i.e. LCM of 73,293,362 is 7742818.

GCF of Denominators means GCF of 857,629,451 as per the given fractions.

GCF of 857,629,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,293,362

LCM of Fractions 73/857,293/629,362/451 is 7742818

Given numbers has no common factors except 1. So, there LCM is their product i.e 7742818

Least Common Multiple of 73,293,362 with GCF Formula

Least Common Multiple of 73,293,362 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 73,293,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,293,362) = 1

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

GCF(73,293,362) x common factors =1 x 1 = 1

LCM(73,293,362) = ( 73 × 293 × 362 ) / 1

LCM(73,293,362) = 7742818 / 1

LCM(73,293,362) = 7742818


Lets's calculate GCF of 857,629,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7742818/1

Therefore the LCM of Fractions 73/857,293/629,362/451 is 7742818

Greatest Common Factor of 857,629,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,629,451 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 857,629,451 . The biggest common factor number is the GCF number.
So the greatest common factor 857,629,451 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/857, 293/629, 362/451

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 73/857, 293/629, 362/451?

Answer: LCM of Numerators as per given numbers 73/857, 293/629, 362/451 is

LCM of Numerators i.e. for 73,293,362 is 7742818

GCF of denominators i.e. for 857,629,451 is 1.

Thus, LCM of Fractions is 7742818.Finally, LCM of Fractions for 73/857, 293/629, 362/451 is 7742818.