Least Common Multiple of 45/364, 75/376, 711/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/364, 75/376, 711/295 quickly i.e. 17775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/364, 75/376, 711/295 is 17775.

LCM(45/364, 75/376, 711/295) = 17775

LCM of 45/364, 75/376, 711/295

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 45/364,75/376,711/295

Given numbers are 45/364,75/376,711/295

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 45,75,711

Least Common Multiple of Numerators i.e. LCM of 45,75,711 is 17775.

GCF of Denominators means GCF of 364,376,295 as per the given fractions.

GCF of 364,376,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,75,711

LCM of Fractions 45/364,75/376,711/295 is 17775

3 45, 75, 711
3 15, 25, 237
5 5, 25, 79
1, 5, 79

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 5 x 79 = 17775

Least Common Multiple of 45,75,711 with GCF Formula

Least Common Multiple of 45,75,711 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 45,75,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,75,711) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(45,75,711) x common factors =3 x 45 = 135

LCM(45,75,711) = ( 45 × 75 × 711 ) / 135

LCM(45,75,711) = 2399625 / 135

LCM(45,75,711) = 17775


Lets's calculate GCF of 364,376,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17775/1

Therefore the LCM of Fractions 45/364,75/376,711/295 is 17775

Greatest Common Factor of 364,376,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,376,295 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 364,376,295 . The biggest common factor number is the GCF number.
So the greatest common factor 364,376,295 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 45/364, 75/376, 711/295

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 45/364, 75/376, 711/295?

Answer: LCM of Numerators as per given numbers 45/364, 75/376, 711/295 is

LCM of Numerators i.e. for 45,75,711 is 17775

GCF of denominators i.e. for 364,376,295 is 1.

Thus, LCM of Fractions is 17775.Finally, LCM of Fractions for 45/364, 75/376, 711/295 is 17775.