Least Common Multiple of 736/258, 142/319, 773/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/258, 142/319, 773/622 quickly i.e. 40393888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/258, 142/319, 773/622 is 40393888.

LCM(736/258, 142/319, 773/622) = 40393888

LCM of 736/258, 142/319, 773/622

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 736/258,142/319,773/622

Given numbers are 736/258,142/319,773/622

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 736,142,773

Least Common Multiple of Numerators i.e. LCM of 736,142,773 is 40393888.

GCF of Denominators means GCF of 258,319,622 as per the given fractions.

GCF of 258,319,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,142,773

LCM of Fractions 736/258,142/319,773/622 is 40393888

2 736, 142, 773
368, 71, 773

∴ So the LCM of the given numbers is 2 x 368 x 71 x 773 = 40393888

Least Common Multiple of 736,142,773 with GCF Formula

Least Common Multiple of 736,142,773 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 736,142,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,142,773) = 1

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

GCF(736,142,773) x common factors =1 x 2 = 2

LCM(736,142,773) = ( 736 × 142 × 773 ) / 2

LCM(736,142,773) = 80787776 / 2

LCM(736,142,773) = 40393888


Lets's calculate GCF of 258,319,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40393888/1

Therefore the LCM of Fractions 736/258,142/319,773/622 is 40393888

Greatest Common Factor of 258,319,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,319,622 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 258,319,622 . The biggest common factor number is the GCF number.
So the greatest common factor 258,319,622 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 736/258, 142/319, 773/622

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 736/258, 142/319, 773/622?

Answer: LCM of Numerators as per given numbers 736/258, 142/319, 773/622 is

LCM of Numerators i.e. for 736,142,773 is 40393888

GCF of denominators i.e. for 258,319,622 is 1.

Thus, LCM of Fractions is 40393888.Finally, LCM of Fractions for 736/258, 142/319, 773/622 is 40393888.