Least Common Multiple of 412/46, 548/38, 694/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/46, 548/38, 694/782 quickly i.e. 9793034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/46, 548/38, 694/782 is 9793034.

LCM(412/46, 548/38, 694/782) = 9793034

LCM of 412/46, 548/38, 694/782

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 412/46,548/38,694/782

Given numbers are 412/46,548/38,694/782

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 412,548,694

Least Common Multiple of Numerators i.e. LCM of 412,548,694 is 19586068.

GCF of Denominators means GCF of 46,38,782 as per the given fractions.

GCF of 46,38,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,548,694

LCM of Fractions 412/46,548/38,694/782 is 9793034

2 412, 548, 694
2 206, 274, 347
103, 137, 347

∴ So the LCM of the given numbers is 2 x 2 x 103 x 137 x 347 = 19586068

Least Common Multiple of 412,548,694 with GCF Formula

Least Common Multiple of 412,548,694 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 412,548,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,548,694) = 2

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

GCF(412,548,694) x common factors =2 x 4 = 8

LCM(412,548,694) = ( 412 × 548 × 694 ) / 8

LCM(412,548,694) = 156688544 / 8

LCM(412,548,694) = 19586068


Lets's calculate GCF of 46,38,782

2 46, 38, 782
23, 19, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19586068/2

Therefore the LCM of Fractions 412/46,548/38,694/782 is 9793034

Greatest Common Factor of 46,38,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,38,782 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 38

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

1,2,19,38

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 46,38,782 . The biggest common factor number is the GCF number.
So the greatest common factor 46,38,782 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 412/46, 548/38, 694/782

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 412/46, 548/38, 694/782?

Answer: LCM of Numerators as per given numbers 412/46, 548/38, 694/782 is

LCM of Numerators i.e. for 412,548,694 is 19586068

GCF of denominators i.e. for 46,38,782 is 2.

Thus, LCM of Fractions is 9793034.Finally, LCM of Fractions for 412/46, 548/38, 694/782 is 9793034.