Least Common Multiple of 43/16, 778/38, 458/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/16, 778/38, 458/297 quickly i.e. 7660966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/16, 778/38, 458/297 is 7660966.

LCM(43/16, 778/38, 458/297) = 7660966

LCM of 43/16, 778/38, 458/297

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 43/16,778/38,458/297

Given numbers are 43/16,778/38,458/297

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 43,778,458

Least Common Multiple of Numerators i.e. LCM of 43,778,458 is 7660966.

GCF of Denominators means GCF of 16,38,297 as per the given fractions.

GCF of 16,38,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,778,458

LCM of Fractions 43/16,778/38,458/297 is 7660966

2 43, 778, 458
43, 389, 229

∴ So the LCM of the given numbers is 2 x 43 x 389 x 229 = 7660966

Least Common Multiple of 43,778,458 with GCF Formula

Least Common Multiple of 43,778,458 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 43,778,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,778,458) = 1

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

GCF(43,778,458) x common factors =1 x 2 = 2

LCM(43,778,458) = ( 43 × 778 × 458 ) / 2

LCM(43,778,458) = 15321932 / 2

LCM(43,778,458) = 7660966


Lets's calculate GCF of 16,38,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7660966/1

Therefore the LCM of Fractions 43/16,778/38,458/297 is 7660966

Greatest Common Factor of 16,38,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,38,297 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 16,38,297 . The biggest common factor number is the GCF number.
So the greatest common factor 16,38,297 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 43/16, 778/38, 458/297

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 43/16, 778/38, 458/297?

Answer: LCM of Numerators as per given numbers 43/16, 778/38, 458/297 is

LCM of Numerators i.e. for 43,778,458 is 7660966

GCF of denominators i.e. for 16,38,297 is 1.

Thus, LCM of Fractions is 7660966.Finally, LCM of Fractions for 43/16, 778/38, 458/297 is 7660966.