Given numbers are 545,580,202,188,460

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

The LCM of 545,580,202,188,460 is 6902422820.

Find LCM of 545,580,202,188,460 with Prime Factorization

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

2 x 2 x 5 x 109 x 29 x 101 x 47 x 23 = 6902422820

Therefore, the lowest common multiple of 545,580,202,188,460 is 6902422820.

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.

545 x 580 x 202 x 188 x 460 = 5521938256000

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.

545 : 1, 5, 109, 545

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

202 : 1, 2, 101, 202

188 : 1, 2, 4, 47, 94, 188

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,580,202,188,460, is 1.

Now, the common factors can be found like this.

545:5x 109

580:2x 2x 5x 29

202:2x 101

188:2x 2x 47

460:2x 2x 5x 23

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 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 5521938256000/(1x800)

LCM = 5521938256000/800

LCM = 6902422820

Thus, we can understand that the LCM of 545,580,202,188,460 is 6902422820.

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

• LCM of 913, 548, 406, 774, 284
• LCM of 784, 391, 813, 848, 282
• LCM of 988, 165, 386, 860, 953
• LCM of 814, 981, 661, 556, 885
• LCM of 210, 550, 141, 522, 985

1. What is the LCM of 545, 580, 202, 188, 460?

Answer: LCM of 545, 580, 202, 188, 460 is 6902422820.

2. How to calculate the LCM of 545, 580, 202, 188, 460?

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 545, 580, 202, 188, 460.

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}.