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LCM of 462, 905, 667, 976

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


Find the LCM of 462, 905, 667, 976 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 462, 905, 667, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,905,667,976

Given numbers are 462,905,667,976

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

The LCM of 462,905,667,976 is 136093132560.

Find LCM of 462,905,667,976 with Prime Factorization


2 462, 905, 667, 976
231, 905, 667, 488

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

2 x 231 x 905 x 667 x 488 = 136093132560

Therefore, the lowest common multiple of 462,905,667,976 is 136093132560.

LCM Formula to Find Lowest Common Multiple of 462,905,667,976

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.

462 x 905 x 667 x 976 = 272186265120

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

905 : 1, 5, 181, 905

667 : 1, 23, 29, 667

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,905,667,976, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

905:5x 181

667:23x 29

976:2x 2x 2x 2x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 272186265120/(1x2)

LCM = 272186265120/2

LCM = 136093132560

Thus, we can understand that the LCM of 462,905,667,976 is 136093132560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 905, 667, 976

1. What is the LCM of 462, 905, 667, 976?

Answer: LCM of 462, 905, 667, 976 is 136093132560.

2. How to calculate the LCM of 462, 905, 667, 976?

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 462, 905, 667, 976.

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}.