Given numbers are 428,980,975,163,642

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

The LCM of 428,980,975,163,642 is 3332975100.

Find LCM of 428,980,975,163,642 with Prime Factorization

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

2 x 2 x 3 x 5 x 107 x 1 x 49 x 65 x 163 x 1 = 3332975100

Therefore, the lowest common multiple of 428,980,975,163,642 is 3332975100.

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.

428 x 980 x 975 x 163 x 642 = 42795400284000

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.

428 : 1, 2, 4, 107, 214, 428

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

163 : 1, 163

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,980,975,163,642, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

980:2x 2x 5x 7x 7

975:3x 5x 5x 13

163:163

642:2x 3x 107

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 3x 5x 107 = 12840

Therefore, the value for common factors is 12840.

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 = 42795400284000/(1x12840)

LCM = 42795400284000/12840

LCM = 3332975100

Thus, we can understand that the LCM of 428,980,975,163,642 is 3332975100.

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

• LCM of 361, 134, 887, 497, 275
• LCM of 401, 178, 484, 212, 476
• LCM of 922, 334, 942, 100, 873
• LCM of 288, 538, 279, 341, 247
• LCM of 810, 960, 325, 302, 877

1. What is the LCM of 428, 980, 975, 163, 642?

Answer: LCM of 428, 980, 975, 163, 642 is 3332975100.

2. How to calculate the LCM of 428, 980, 975, 163, 642?

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 428, 980, 975, 163, 642.

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}.