Given numbers are 465,950,952,739,169

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

The LCM of 465,950,952,739,169 is 5252241048600.

Find LCM of 465,950,952,739,169 with Prime Factorization

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

2 x 5 x 93 x 95 x 476 x 739 x 169 = 5252241048600

Therefore, the lowest common multiple of 465,950,952,739,169 is 5252241048600.

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.

465 x 950 x 952 x 739 x 169 = 52522410486000

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

739 : 1, 739

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,950,952,739,169, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

950:2x 5x 5x 19

952:2x 2x 2x 7x 17

739:739

169:13x 13

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 52522410486000/(1x10)

LCM = 52522410486000/10

LCM = 5252241048600

Thus, we can understand that the LCM of 465,950,952,739,169 is 5252241048600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 369, 143, 379, 479, 186
• LCM of 714, 155, 324, 190, 707
• LCM of 475, 187, 576, 353, 224
• LCM of 929, 284, 254, 558, 754
• LCM of 636, 150, 393, 682, 412

1. What is the LCM of 465, 950, 952, 739, 169?

Answer: LCM of 465, 950, 952, 739, 169 is 5252241048600.

2. How to calculate the LCM of 465, 950, 952, 739, 169?

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 465, 950, 952, 739, 169.

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}.