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LCM of 314, 697, 844, 456, 501

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


Find the LCM of 314, 697, 844, 456, 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 314, 697, 844, 456, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,697,844,456,501

Given numbers are 314,697,844,456,501

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

The LCM of 314,697,844,456,501 is 1758313050888.

Find LCM of 314,697,844,456,501 with Prime Factorization


2 314, 697, 844, 456, 501
2 157, 697, 422, 228, 501
3 157, 697, 211, 114, 501
157, 697, 211, 38, 167

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

2 x 2 x 3 x 157 x 697 x 211 x 38 x 167 = 1758313050888

Therefore, the lowest common multiple of 314,697,844,456,501 is 1758313050888.

LCM Formula to Find Lowest Common Multiple of 314,697,844,456,501

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.

314 x 697 x 844 x 456 x 501 = 42199513221312

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.

314 : 1, 2, 157, 314

697 : 1, 17, 41, 697

844 : 1, 2, 4, 211, 422, 844

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,697,844,456,501, is 1.

Now, the common factors can be found like this.

314:2x 157

697:17x 41

844:2x 2x 211

456:2x 2x 2x 3x 19

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 42199513221312/(1x24)

LCM = 42199513221312/24

LCM = 1758313050888

Thus, we can understand that the LCM of 314,697,844,456,501 is 1758313050888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 697, 844, 456, 501

1. What is the LCM of 314, 697, 844, 456, 501?

Answer: LCM of 314, 697, 844, 456, 501 is 1758313050888.

2. How to calculate the LCM of 314, 697, 844, 456, 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 314, 697, 844, 456, 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}.