Least Common Multiple of 145/153, 8967/3642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/153, 8967/3642 quickly i.e. 433405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/153, 8967/3642 is 433405.

LCM(145/153, 8967/3642) = 433405

LCM of 145/153, 8967/3642

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 145/153,8967/3642

Given numbers are 145/153,8967/3642

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 145,8967

Least Common Multiple of Numerators i.e. LCM of 145,8967 is 1300215.

GCF of Denominators means GCF of 153,3642 as per the given fractions.

GCF of 153,3642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,8967

LCM of Fractions 145/153,8967/3642 is 433405

Given numbers has no common factors except 1. So, there LCM is their product i.e 1300215

Least Common Multiple of 145,8967 with GCF Formula

Least Common Multiple of 145,8967 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 145,8967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,8967) = 1

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

GCF(145,8967) x common factors =1 x 1 = 1

LCM(145,8967) = ( 145 × 8967 ) / 1

LCM(145,8967) = 1300215 / 1

LCM(145,8967) = 1300215


Lets's calculate GCF of 153,3642

3 153, 3642
51, 1214

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300215/3

Therefore the LCM of Fractions 145/153,8967/3642 is 433405

Greatest Common Factor of 153,3642 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,3642 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

Greatest Common Factor

We found the factors 153,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 153,3642 is 3.


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 145/153, 8967/3642

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 145/153, 8967/3642?

Answer: LCM of Numerators as per given numbers 145/153, 8967/3642 is

LCM of Numerators i.e. for 145,8967 is 1300215

GCF of denominators i.e. for 153,3642 is 3.

Thus, LCM of Fractions is 433405.Finally, LCM of Fractions for 145/153, 8967/3642 is 433405.