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LCM of 467, 830, 217, 905

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


Find the LCM of 467, 830, 217, 905 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 467, 830, 217, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,830,217,905

Given numbers are 467,830,217,905

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

The LCM of 467,830,217,905 is 15224157970.

Find LCM of 467,830,217,905 with Prime Factorization


5 467, 830, 217, 905
467, 166, 217, 181

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

5 x 467 x 166 x 217 x 181 = 15224157970

Therefore, the lowest common multiple of 467,830,217,905 is 15224157970.

LCM Formula to Find Lowest Common Multiple of 467,830,217,905

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.

467 x 830 x 217 x 905 = 76120789850

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.

467 : 1, 467

830 : 1, 2, 5, 10, 83, 166, 415, 830

217 : 1, 7, 31, 217

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,830,217,905, is 1.

Now, the common factors can be found like this.

467:467

830:2x 5x 83

217:7x 31

905:5x 181

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

5 = 5

Therefore, the value for common factors is 5.

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 = 76120789850/(1x5)

LCM = 76120789850/5

LCM = 15224157970

Thus, we can understand that the LCM of 467,830,217,905 is 15224157970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 830, 217, 905

1. What is the LCM of 467, 830, 217, 905?

Answer: LCM of 467, 830, 217, 905 is 15224157970.

2. How to calculate the LCM of 467, 830, 217, 905?

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 467, 830, 217, 905.

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}.