Given numbers are 675,532,504,141,609

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

The LCM of 675,532,504,141,609 is 978906600.

Find LCM of 675,532,504,141,609 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 75 x 19 x 2 x 47 x 29 = 978906600

Therefore, the lowest common multiple of 675,532,504,141,609 is 978906600.

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.

675 x 532 x 504 x 141 x 609 = 15541121181600

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

141 : 1, 3, 47, 141

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,532,504,141,609, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

532:2x 2x 7x 19

504:2x 2x 2x 3x 3x 7

141:3x 47

609:3x 7x 29

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 3x 3x 3x 3x 7x 7 = 15876

Therefore, the value for common factors is 15876.

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 = 15541121181600/(1x15876)

LCM = 15541121181600/15876

LCM = 978906600

Thus, we can understand that the LCM of 675,532,504,141,609 is 978906600.

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

• LCM of 496, 985, 561, 679, 737
• LCM of 247, 761, 800, 965, 524
• LCM of 795, 101, 846, 827, 502
• LCM of 481, 267, 275, 518, 689
• LCM of 726, 149, 869, 456, 564

1. What is the LCM of 675, 532, 504, 141, 609?

Answer: LCM of 675, 532, 504, 141, 609 is 978906600.

2. How to calculate the LCM of 675, 532, 504, 141, 609?

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 675, 532, 504, 141, 609.

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}.