Given numbers are 107,620,658,493,135

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

The LCM of 107,620,658,493,135 is 290524022460.

Find LCM of 107,620,658,493,135 with Prime Factorization

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

2 x 5 x 107 x 62 x 329 x 493 x 27 = 290524022460

Therefore, the lowest common multiple of 107,620,658,493,135 is 290524022460.

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.

107 x 620 x 658 x 493 x 135 = 2905240224600

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.

107 : 1, 107

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

658 : 1, 2, 7, 14, 47, 94, 329, 658

493 : 1, 17, 29, 493

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,620,658,493,135, is 1.

Now, the common factors can be found like this.

107:107

620:2x 2x 5x 31

658:2x 7x 47

493:17x 29

135:3x 3x 3x 5

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 = 2905240224600/(1x10)

LCM = 2905240224600/10

LCM = 290524022460

Thus, we can understand that the LCM of 107,620,658,493,135 is 290524022460.

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

• LCM of 931, 712, 293, 364, 810
• LCM of 739, 537, 648, 187, 430
• LCM of 555, 784, 468, 328, 258
• LCM of 180, 607, 928, 610, 761
• LCM of 960, 915, 154, 661, 335

1. What is the LCM of 107, 620, 658, 493, 135?

Answer: LCM of 107, 620, 658, 493, 135 is 290524022460.

2. How to calculate the LCM of 107, 620, 658, 493, 135?

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 107, 620, 658, 493, 135.

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}.