Least Common Multiple of 45/14, 50/361, 705/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/14, 50/361, 705/368 quickly i.e. 21150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/14, 50/361, 705/368 is 21150.

LCM(45/14, 50/361, 705/368) = 21150

LCM of 45/14, 50/361, 705/368

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 45/14,50/361,705/368

Given numbers are 45/14,50/361,705/368

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 45,50,705

Least Common Multiple of Numerators i.e. LCM of 45,50,705 is 21150.

GCF of Denominators means GCF of 14,361,368 as per the given fractions.

GCF of 14,361,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,50,705

LCM of Fractions 45/14,50/361,705/368 is 21150

3 45, 50, 705
5 15, 50, 235
3, 10, 47

∴ So the LCM of the given numbers is 3 x 5 x 3 x 10 x 47 = 21150

Least Common Multiple of 45,50,705 with GCF Formula

Least Common Multiple of 45,50,705 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 45,50,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,50,705) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(45,50,705) x common factors =5 x 15 = 75

LCM(45,50,705) = ( 45 × 50 × 705 ) / 75

LCM(45,50,705) = 1586250 / 75

LCM(45,50,705) = 21150


Lets's calculate GCF of 14,361,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21150/1

Therefore the LCM of Fractions 45/14,50/361,705/368 is 21150

Greatest Common Factor of 14,361,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,361,368 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 14,361,368 . The biggest common factor number is the GCF number.
So the greatest common factor 14,361,368 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 45/14, 50/361, 705/368

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 45/14, 50/361, 705/368?

Answer: LCM of Numerators as per given numbers 45/14, 50/361, 705/368 is

LCM of Numerators i.e. for 45,50,705 is 21150

GCF of denominators i.e. for 14,361,368 is 1.

Thus, LCM of Fractions is 21150.Finally, LCM of Fractions for 45/14, 50/361, 705/368 is 21150.