Least Common Multiple of 9552/417, 4222/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9552/417, 4222/153 quickly i.e. 6721424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9552/417, 4222/153 is 6721424.

LCM(9552/417, 4222/153) = 6721424

LCM of 9552/417, 4222/153

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 9552/417,4222/153

Given numbers are 9552/417,4222/153

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 9552,4222

Least Common Multiple of Numerators i.e. LCM of 9552,4222 is 20164272.

GCF of Denominators means GCF of 417,153 as per the given fractions.

GCF of 417,153 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9552,4222

LCM of Fractions 9552/417,4222/153 is 6721424

2 9552, 4222
4776, 2111

∴ So the LCM of the given numbers is 2 x 4776 x 2111 = 20164272

Least Common Multiple of 9552,4222 with GCF Formula

Least Common Multiple of 9552,4222 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 9552,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9552,4222) = 2

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

GCF(9552,4222) x common factors =2 x 1 = 2

LCM(9552,4222) = ( 9552 × 4222 ) / 2

LCM(9552,4222) = 40328544 / 2

LCM(9552,4222) = 20164272


Lets's calculate GCF of 417,153

3 417, 153
139, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20164272/3

Therefore the LCM of Fractions 9552/417,4222/153 is 6721424

Greatest Common Factor of 417,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,153 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 153

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

1,3,9,17,51,153

Greatest Common Factor

We found the factors 417,153 . The biggest common factor number is the GCF number.
So the greatest common factor 417,153 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 9552/417, 4222/153

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 9552/417, 4222/153?

Answer: LCM of Numerators as per given numbers 9552/417, 4222/153 is

LCM of Numerators i.e. for 9552,4222 is 20164272

GCF of denominators i.e. for 417,153 is 3.

Thus, LCM of Fractions is 6721424.Finally, LCM of Fractions for 9552/417, 4222/153 is 6721424.