Least Common Multiple of 438/89, 435/74, 152/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/89, 435/74, 152/120 quickly i.e. 4826760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/89, 435/74, 152/120 is 4826760.

LCM(438/89, 435/74, 152/120) = 4826760

LCM of 438/89, 435/74, 152/120

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 438/89,435/74,152/120

Given numbers are 438/89,435/74,152/120

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 438,435,152

Least Common Multiple of Numerators i.e. LCM of 438,435,152 is 4826760.

GCF of Denominators means GCF of 89,74,120 as per the given fractions.

GCF of 89,74,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,435,152

LCM of Fractions 438/89,435/74,152/120 is 4826760

2 438, 435, 152
3 219, 435, 76
73, 145, 76

∴ So the LCM of the given numbers is 2 x 3 x 73 x 145 x 76 = 4826760

Least Common Multiple of 438,435,152 with GCF Formula

Least Common Multiple of 438,435,152 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 438,435,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,435,152) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(438,435,152) x common factors =1 x 6 = 6

LCM(438,435,152) = ( 438 × 435 × 152 ) / 6

LCM(438,435,152) = 28960560 / 6

LCM(438,435,152) = 4826760


Lets's calculate GCF of 89,74,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4826760/1

Therefore the LCM of Fractions 438/89,435/74,152/120 is 4826760

Greatest Common Factor of 89,74,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,74,120 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 89,74,120 . The biggest common factor number is the GCF number.
So the greatest common factor 89,74,120 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 438/89, 435/74, 152/120

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 438/89, 435/74, 152/120?

Answer: LCM of Numerators as per given numbers 438/89, 435/74, 152/120 is

LCM of Numerators i.e. for 438,435,152 is 4826760

GCF of denominators i.e. for 89,74,120 is 1.

Thus, LCM of Fractions is 4826760.Finally, LCM of Fractions for 438/89, 435/74, 152/120 is 4826760.