Given numbers are 524,727,490,160,220

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

The LCM of 524,727,490,160,220 is 8213238880.

Find LCM of 524,727,490,160,220 with Prime Factorization

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

2 x 2 x 5 x 131 x 727 x 49 x 8 x 11 = 8213238880

Therefore, the lowest common multiple of 524,727,490,160,220 is 8213238880.

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.

524 x 727 x 490 x 160 x 220 = 6570591104000

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.

524 : 1, 2, 4, 131, 262, 524

727 : 1, 727

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,727,490,160,220, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

727:727

490:2x 5x 7x 7

160:2x 2x 2x 2x 2x 5

220:2x 2x 5x 11

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 = 6570591104000/(1x800)

LCM = 6570591104000/800

LCM = 8213238880

Thus, we can understand that the LCM of 524,727,490,160,220 is 8213238880.

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

• LCM of 326, 988, 782, 250, 703
• LCM of 720, 679, 509, 339, 918
• LCM of 266, 123, 735, 549, 649
• LCM of 527, 441, 613, 370, 813
• LCM of 420, 576, 287, 193, 961

1. What is the LCM of 524, 727, 490, 160, 220?

Answer: LCM of 524, 727, 490, 160, 220 is 8213238880.

2. How to calculate the LCM of 524, 727, 490, 160, 220?

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 524, 727, 490, 160, 220.

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}.