Least Common Multiple of 469/60, 469/28, 380/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/60, 469/28, 380/742 quickly i.e. 89110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/60, 469/28, 380/742 is 89110.

LCM(469/60, 469/28, 380/742) = 89110

LCM of 469/60, 469/28, 380/742

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 469/60,469/28,380/742

Given numbers are 469/60,469/28,380/742

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 469,469,380

Least Common Multiple of Numerators i.e. LCM of 469,469,380 is 178220.

GCF of Denominators means GCF of 60,28,742 as per the given fractions.

GCF of 60,28,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,469,380

LCM of Fractions 469/60,469/28,380/742 is 89110

7 469, 469, 380
67 67, 67, 380
1, 1, 380

∴ So the LCM of the given numbers is 7 x 67 x 1 x 1 x 380 = 178220

Least Common Multiple of 469,469,380 with GCF Formula

Least Common Multiple of 469,469,380 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 469,469,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,469,380) = 1

common factors(in case of two or more numbers have common factors) = 469

GCF(469,469,380) x common factors =1 x 469 = 469

LCM(469,469,380) = ( 469 × 469 × 380 ) / 469

LCM(469,469,380) = 83585180 / 469

LCM(469,469,380) = 178220


Lets's calculate GCF of 60,28,742

2 60, 28, 742
30, 14, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178220/2

Therefore the LCM of Fractions 469/60,469/28,380/742 is 89110

Greatest Common Factor of 60,28,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,28,742 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 60,28,742 . The biggest common factor number is the GCF number.
So the greatest common factor 60,28,742 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 469/60, 469/28, 380/742

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 469/60, 469/28, 380/742?

Answer: LCM of Numerators as per given numbers 469/60, 469/28, 380/742 is

LCM of Numerators i.e. for 469,469,380 is 178220

GCF of denominators i.e. for 60,28,742 is 2.

Thus, LCM of Fractions is 89110.Finally, LCM of Fractions for 469/60, 469/28, 380/742 is 89110.