Least Common Multiple of 152/145, 9388/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/145, 9388/692 quickly i.e. 356744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/145, 9388/692 is 356744.

LCM(152/145, 9388/692) = 356744

LCM of 152/145, 9388/692

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 152/145,9388/692

Given numbers are 152/145,9388/692

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 152,9388

Least Common Multiple of Numerators i.e. LCM of 152,9388 is 356744.

GCF of Denominators means GCF of 145,692 as per the given fractions.

GCF of 145,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,9388

LCM of Fractions 152/145,9388/692 is 356744

2 152, 9388
2 76, 4694
38, 2347

∴ So the LCM of the given numbers is 2 x 2 x 38 x 2347 = 356744

Least Common Multiple of 152,9388 with GCF Formula

Least Common Multiple of 152,9388 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 152,9388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,9388) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(152,9388) x common factors =4 x 1 = 4

LCM(152,9388) = ( 152 × 9388 ) / 4

LCM(152,9388) = 1426976 / 4

LCM(152,9388) = 356744


Lets's calculate GCF of 145,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356744/1

Therefore the LCM of Fractions 152/145,9388/692 is 356744

Greatest Common Factor of 145,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,692 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 145,692 . The biggest common factor number is the GCF number.
So the greatest common factor 145,692 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 152/145, 9388/692

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 152/145, 9388/692?

Answer: LCM of Numerators as per given numbers 152/145, 9388/692 is

LCM of Numerators i.e. for 152,9388 is 356744

GCF of denominators i.e. for 145,692 is 1.

Thus, LCM of Fractions is 356744.Finally, LCM of Fractions for 152/145, 9388/692 is 356744.