Least Common Multiple of 394/446, 264/581, 920/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/446, 264/581, 920/700 quickly i.e. 5980920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/446, 264/581, 920/700 is 5980920.

LCM(394/446, 264/581, 920/700) = 5980920

LCM of 394/446, 264/581, 920/700

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 394/446,264/581,920/700

Given numbers are 394/446,264/581,920/700

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 394,264,920

Least Common Multiple of Numerators i.e. LCM of 394,264,920 is 5980920.

GCF of Denominators means GCF of 446,581,700 as per the given fractions.

GCF of 446,581,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,264,920

LCM of Fractions 394/446,264/581,920/700 is 5980920

2 394, 264, 920
2 197, 132, 460
2 197, 66, 230
197, 33, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 197 x 33 x 115 = 5980920

Least Common Multiple of 394,264,920 with GCF Formula

Least Common Multiple of 394,264,920 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 394,264,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,264,920) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(394,264,920) x common factors =2 x 8 = 16

LCM(394,264,920) = ( 394 × 264 × 920 ) / 16

LCM(394,264,920) = 95694720 / 16

LCM(394,264,920) = 5980920


Lets's calculate GCF of 446,581,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5980920/1

Therefore the LCM of Fractions 394/446,264/581,920/700 is 5980920

Greatest Common Factor of 446,581,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,581,700 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

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

Greatest Common Factor

We found the factors 446,581,700 . The biggest common factor number is the GCF number.
So the greatest common factor 446,581,700 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 394/446, 264/581, 920/700

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 394/446, 264/581, 920/700?

Answer: LCM of Numerators as per given numbers 394/446, 264/581, 920/700 is

LCM of Numerators i.e. for 394,264,920 is 5980920

GCF of denominators i.e. for 446,581,700 is 1.

Thus, LCM of Fractions is 5980920.Finally, LCM of Fractions for 394/446, 264/581, 920/700 is 5980920.