Least Common Multiple of 749/73, 574/25, 730/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/73, 574/25, 730/701 quickly i.e. 22417570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/73, 574/25, 730/701 is 22417570.

LCM(749/73, 574/25, 730/701) = 22417570

LCM of 749/73, 574/25, 730/701

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 749/73,574/25,730/701

Given numbers are 749/73,574/25,730/701

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 749,574,730

Least Common Multiple of Numerators i.e. LCM of 749,574,730 is 22417570.

GCF of Denominators means GCF of 73,25,701 as per the given fractions.

GCF of 73,25,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,574,730

LCM of Fractions 749/73,574/25,730/701 is 22417570

2 749, 574, 730
7 749, 287, 365
107, 41, 365

∴ So the LCM of the given numbers is 2 x 7 x 107 x 41 x 365 = 22417570

Least Common Multiple of 749,574,730 with GCF Formula

Least Common Multiple of 749,574,730 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 749,574,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,574,730) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(749,574,730) x common factors =1 x 14 = 14

LCM(749,574,730) = ( 749 × 574 × 730 ) / 14

LCM(749,574,730) = 313845980 / 14

LCM(749,574,730) = 22417570


Lets's calculate GCF of 73,25,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22417570/1

Therefore the LCM of Fractions 749/73,574/25,730/701 is 22417570

Greatest Common Factor of 73,25,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,25,701 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 73,25,701 . The biggest common factor number is the GCF number.
So the greatest common factor 73,25,701 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 749/73, 574/25, 730/701

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 749/73, 574/25, 730/701?

Answer: LCM of Numerators as per given numbers 749/73, 574/25, 730/701 is

LCM of Numerators i.e. for 749,574,730 is 22417570

GCF of denominators i.e. for 73,25,701 is 1.

Thus, LCM of Fractions is 22417570.Finally, LCM of Fractions for 749/73, 574/25, 730/701 is 22417570.