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LCM of 682, 157, 875, 456

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


Find the LCM of 682, 157, 875, 456 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 682, 157, 875, 456. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,157,875,456

Given numbers are 682,157,875,456

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

The LCM of 682,157,875,456 is 21361263000.

Find LCM of 682,157,875,456 with Prime Factorization


2 682, 157, 875, 456
341, 157, 875, 228

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

2 x 341 x 157 x 875 x 228 = 21361263000

Therefore, the lowest common multiple of 682,157,875,456 is 21361263000.

LCM Formula to Find Lowest Common Multiple of 682,157,875,456

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.

682 x 157 x 875 x 456 = 42722526000

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

157 : 1, 157

875 : 1, 5, 7, 25, 35, 125, 175, 875

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,157,875,456, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

157:157

875:5x 5x 5x 7

456:2x 2x 2x 3x 19

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 = 42722526000/(1x2)

LCM = 42722526000/2

LCM = 21361263000

Thus, we can understand that the LCM of 682,157,875,456 is 21361263000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 157, 875, 456

1. What is the LCM of 682, 157, 875, 456?

Answer: LCM of 682, 157, 875, 456 is 21361263000.

2. How to calculate the LCM of 682, 157, 875, 456?

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 682, 157, 875, 456.

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}.