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LCM of 230, 474, 901, 224, 501

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 230, 474, 901, 224, 501 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 230, 474, 901, 224, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,474,901,224,501

Given numbers are 230,474,901,224,501

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 230,474,901,224,501 is 918619091040.

Find LCM of 230,474,901,224,501 with Prime Factorization


2 230, 474, 901, 224, 501
3 115, 237, 901, 112, 501
115, 79, 901, 112, 167

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 115 x 79 x 901 x 112 x 167 = 918619091040

Therefore, the lowest common multiple of 230,474,901,224,501 is 918619091040.

LCM Formula to Find Lowest Common Multiple of 230,474,901,224,501

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

230 x 474 x 901 x 224 x 501 = 11023429092480

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

230 : 1, 2, 5, 10, 23, 46, 115, 230

474 : 1, 2, 3, 6, 79, 158, 237, 474

901 : 1, 17, 53, 901

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,474,901,224,501, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

474:2x 3x 79

901:17x 53

224:2x 2x 2x 2x 2x 7

501:3x 167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11023429092480/(1x12)

LCM = 11023429092480/12

LCM = 918619091040

Thus, we can understand that the LCM of 230,474,901,224,501 is 918619091040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 474, 901, 224, 501

1. What is the LCM of 230, 474, 901, 224, 501?

Answer: LCM of 230, 474, 901, 224, 501 is 918619091040.

2. How to calculate the LCM of 230, 474, 901, 224, 501?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 230, 474, 901, 224, 501.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.