Least Common Multiple of 56/414, 46/700, 819/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/414, 46/700, 819/332 quickly i.e. 75348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/414, 46/700, 819/332 is 75348.

LCM(56/414, 46/700, 819/332) = 75348

LCM of 56/414, 46/700, 819/332

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 56/414,46/700,819/332

Given numbers are 56/414,46/700,819/332

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 56,46,819

Least Common Multiple of Numerators i.e. LCM of 56,46,819 is 150696.

GCF of Denominators means GCF of 414,700,332 as per the given fractions.

GCF of 414,700,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,46,819

LCM of Fractions 56/414,46/700,819/332 is 75348

2 56, 46, 819
7 28, 23, 819
4, 23, 117

∴ So the LCM of the given numbers is 2 x 7 x 4 x 23 x 117 = 150696

Least Common Multiple of 56,46,819 with GCF Formula

Least Common Multiple of 56,46,819 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 56,46,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,46,819) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(56,46,819) x common factors =1 x 14 = 14

LCM(56,46,819) = ( 56 × 46 × 819 ) / 14

LCM(56,46,819) = 2109744 / 14

LCM(56,46,819) = 150696


Lets's calculate GCF of 414,700,332

2 414, 700, 332
207, 350, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150696/2

Therefore the LCM of Fractions 56/414,46/700,819/332 is 75348

Greatest Common Factor of 414,700,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,700,332 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 414,700,332 . The biggest common factor number is the GCF number.
So the greatest common factor 414,700,332 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 56/414, 46/700, 819/332

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 56/414, 46/700, 819/332?

Answer: LCM of Numerators as per given numbers 56/414, 46/700, 819/332 is

LCM of Numerators i.e. for 56,46,819 is 150696

GCF of denominators i.e. for 414,700,332 is 2.

Thus, LCM of Fractions is 75348.Finally, LCM of Fractions for 56/414, 46/700, 819/332 is 75348.