Least Common Multiple of 16/364, 670/146, 458/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/364, 670/146, 458/694 quickly i.e. 613720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/364, 670/146, 458/694 is 613720.

LCM(16/364, 670/146, 458/694) = 613720

LCM of 16/364, 670/146, 458/694

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 16/364,670/146,458/694

Given numbers are 16/364,670/146,458/694

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 16,670,458

Least Common Multiple of Numerators i.e. LCM of 16,670,458 is 1227440.

GCF of Denominators means GCF of 364,146,694 as per the given fractions.

GCF of 364,146,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,670,458

LCM of Fractions 16/364,670/146,458/694 is 613720

2 16, 670, 458
8, 335, 229

∴ So the LCM of the given numbers is 2 x 8 x 335 x 229 = 1227440

Least Common Multiple of 16,670,458 with GCF Formula

Least Common Multiple of 16,670,458 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 16,670,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,670,458) = 2

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

GCF(16,670,458) x common factors =2 x 2 = 4

LCM(16,670,458) = ( 16 × 670 × 458 ) / 4

LCM(16,670,458) = 4909760 / 4

LCM(16,670,458) = 1227440


Lets's calculate GCF of 364,146,694

2 364, 146, 694
182, 73, 347

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1227440/2

Therefore the LCM of Fractions 16/364,670/146,458/694 is 613720

Greatest Common Factor of 364,146,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,146,694 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 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 364,146,694 . The biggest common factor number is the GCF number.
So the greatest common factor 364,146,694 is 2.


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 16/364, 670/146, 458/694

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 16/364, 670/146, 458/694?

Answer: LCM of Numerators as per given numbers 16/364, 670/146, 458/694 is

LCM of Numerators i.e. for 16,670,458 is 1227440

GCF of denominators i.e. for 364,146,694 is 2.

Thus, LCM of Fractions is 613720.Finally, LCM of Fractions for 16/364, 670/146, 458/694 is 613720.