Least Common Multiple of 14/767, 470/30, 472/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/767, 470/30, 472/226 quickly i.e. 776440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/767, 470/30, 472/226 is 776440.

LCM(14/767, 470/30, 472/226) = 776440

LCM of 14/767, 470/30, 472/226

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 14/767,470/30,472/226

Given numbers are 14/767,470/30,472/226

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 14,470,472

Least Common Multiple of Numerators i.e. LCM of 14,470,472 is 776440.

GCF of Denominators means GCF of 767,30,226 as per the given fractions.

GCF of 767,30,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,470,472

LCM of Fractions 14/767,470/30,472/226 is 776440

2 14, 470, 472
7, 235, 236

∴ So the LCM of the given numbers is 2 x 7 x 235 x 236 = 776440

Least Common Multiple of 14,470,472 with GCF Formula

Least Common Multiple of 14,470,472 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 14,470,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,470,472) = 2

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

GCF(14,470,472) x common factors =2 x 2 = 4

LCM(14,470,472) = ( 14 × 470 × 472 ) / 4

LCM(14,470,472) = 3105760 / 4

LCM(14,470,472) = 776440


Lets's calculate GCF of 767,30,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 776440/1

Therefore the LCM of Fractions 14/767,470/30,472/226 is 776440

Greatest Common Factor of 767,30,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,30,226 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 767,30,226 . The biggest common factor number is the GCF number.
So the greatest common factor 767,30,226 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 14/767, 470/30, 472/226

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 14/767, 470/30, 472/226?

Answer: LCM of Numerators as per given numbers 14/767, 470/30, 472/226 is

LCM of Numerators i.e. for 14,470,472 is 776440

GCF of denominators i.e. for 767,30,226 is 1.

Thus, LCM of Fractions is 776440.Finally, LCM of Fractions for 14/767, 470/30, 472/226 is 776440.