Least Common Multiple of 449/154, 822/735, 160/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/154, 822/735, 160/448 quickly i.e. 29526240/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/154, 822/735, 160/448 is 29526240/7.

LCM(449/154, 822/735, 160/448) = 29526240/7

LCM of 449/154, 822/735, 160/448

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 449/154,822/735,160/448

Given numbers are 449/154,822/735,160/448

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 449,822,160

Least Common Multiple of Numerators i.e. LCM of 449,822,160 is 29526240.

GCF of Denominators means GCF of 154,735,448 as per the given fractions.

GCF of 154,735,448 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,822,160

LCM of Fractions 449/154,822/735,160/448 is 29526240/7

2 449, 822, 160
449, 411, 80

∴ So the LCM of the given numbers is 2 x 449 x 411 x 80 = 29526240

Least Common Multiple of 449,822,160 with GCF Formula

Least Common Multiple of 449,822,160 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 449,822,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,822,160) = 1

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

GCF(449,822,160) x common factors =1 x 2 = 2

LCM(449,822,160) = ( 449 × 822 × 160 ) / 2

LCM(449,822,160) = 59052480 / 2

LCM(449,822,160) = 29526240


Lets's calculate GCF of 154,735,448

7 154, 735, 448
22, 105, 64

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29526240/7

Therefore the LCM of Fractions 449/154,822/735,160/448 is 29526240/7

Greatest Common Factor of 154,735,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,735,448 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 154,735,448 . The biggest common factor number is the GCF number.
So the greatest common factor 154,735,448 is 7.


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 449/154, 822/735, 160/448

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 449/154, 822/735, 160/448?

Answer: LCM of Numerators as per given numbers 449/154, 822/735, 160/448 is

LCM of Numerators i.e. for 449,822,160 is 29526240

GCF of denominators i.e. for 154,735,448 is 7.

Thus, LCM of Fractions is 29526240/7.Finally, LCM of Fractions for 449/154, 822/735, 160/448 is 29526240/7.