Given numbers are 128,343,707,112,420

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

The LCM of 128,343,707,112,420 is 66514560.

Find LCM of 128,343,707,112,420 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 8 x 49 x 101 x 1 x 15 = 66514560

Therefore, the lowest common multiple of 128,343,707,112,420 is 66514560.

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.

128 x 343 x 707 x 112 x 420 = 1460127621120

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

343 : 1, 7, 49, 343

707 : 1, 7, 101, 707

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,343,707,112,420, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

343:7x 7x 7

707:7x 101

112:2x 2x 2x 2x 7

420:2x 2x 3x 5x 7

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 2x 7x 7x 7 = 21952

Therefore, the value for common factors is 21952.

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 = 1460127621120/(1x21952)

LCM = 1460127621120/21952

LCM = 66514560

Thus, we can understand that the LCM of 128,343,707,112,420 is 66514560.

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

• LCM of 854, 970, 812, 102, 743
• LCM of 139, 567, 530, 335, 506
• LCM of 427, 138, 477, 775, 722
• LCM of 324, 372, 573, 398, 774
• LCM of 861, 618, 758, 344, 667

1. What is the LCM of 128, 343, 707, 112, 420?

Answer: LCM of 128, 343, 707, 112, 420 is 66514560.

2. How to calculate the LCM of 128, 343, 707, 112, 420?

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 128, 343, 707, 112, 420.

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}.