Least Common Multiple of 45/791, 77/727, 358/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/791, 77/727, 358/515 quickly i.e. 1240470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/791, 77/727, 358/515 is 1240470.

LCM(45/791, 77/727, 358/515) = 1240470

LCM of 45/791, 77/727, 358/515

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 45/791,77/727,358/515

Given numbers are 45/791,77/727,358/515

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 45,77,358

Least Common Multiple of Numerators i.e. LCM of 45,77,358 is 1240470.

GCF of Denominators means GCF of 791,727,515 as per the given fractions.

GCF of 791,727,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,77,358

LCM of Fractions 45/791,77/727,358/515 is 1240470

Given numbers has no common factors except 1. So, there LCM is their product i.e 1240470

Least Common Multiple of 45,77,358 with GCF Formula

Least Common Multiple of 45,77,358 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 45,77,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,77,358) = 1

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

GCF(45,77,358) x common factors =1 x 1 = 1

LCM(45,77,358) = ( 45 × 77 × 358 ) / 1

LCM(45,77,358) = 1240470 / 1

LCM(45,77,358) = 1240470


Lets's calculate GCF of 791,727,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1240470/1

Therefore the LCM of Fractions 45/791,77/727,358/515 is 1240470

Greatest Common Factor of 791,727,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,727,515 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 791,727,515 . The biggest common factor number is the GCF number.
So the greatest common factor 791,727,515 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/791, 77/727, 358/515

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 45/791, 77/727, 358/515?

Answer: LCM of Numerators as per given numbers 45/791, 77/727, 358/515 is

LCM of Numerators i.e. for 45,77,358 is 1240470

GCF of denominators i.e. for 791,727,515 is 1.

Thus, LCM of Fractions is 1240470.Finally, LCM of Fractions for 45/791, 77/727, 358/515 is 1240470.