Least Common Multiple of 16/374, 57/567, 668/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/374, 57/567, 668/705 quickly i.e. 152304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/374, 57/567, 668/705 is 152304.

LCM(16/374, 57/567, 668/705) = 152304

LCM of 16/374, 57/567, 668/705

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 16/374,57/567,668/705

Given numbers are 16/374,57/567,668/705

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 16,57,668

Least Common Multiple of Numerators i.e. LCM of 16,57,668 is 152304.

GCF of Denominators means GCF of 374,567,705 as per the given fractions.

GCF of 374,567,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,57,668

LCM of Fractions 16/374,57/567,668/705 is 152304

2 16, 57, 668
2 8, 57, 334
4, 57, 167

∴ So the LCM of the given numbers is 2 x 2 x 4 x 57 x 167 = 152304

Least Common Multiple of 16,57,668 with GCF Formula

Least Common Multiple of 16,57,668 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 16,57,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,57,668) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,57,668) x common factors =1 x 4 = 4

LCM(16,57,668) = ( 16 × 57 × 668 ) / 4

LCM(16,57,668) = 609216 / 4

LCM(16,57,668) = 152304


Lets's calculate GCF of 374,567,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152304/1

Therefore the LCM of Fractions 16/374,57/567,668/705 is 152304

Greatest Common Factor of 374,567,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,567,705 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 374,567,705 . The biggest common factor number is the GCF number.
So the greatest common factor 374,567,705 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 16/374, 57/567, 668/705

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 16/374, 57/567, 668/705?

Answer: LCM of Numerators as per given numbers 16/374, 57/567, 668/705 is

LCM of Numerators i.e. for 16,57,668 is 152304

GCF of denominators i.e. for 374,567,705 is 1.

Thus, LCM of Fractions is 152304.Finally, LCM of Fractions for 16/374, 57/567, 668/705 is 152304.