Given numbers are 535,688,430,74

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

The LCM of 535,688,430,74 is 13618960.

Find LCM of 535,688,430,74 with Prime Factorization

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

2 x 5 x 43 x 107 x 8 x 1 x 37 = 13618960

Therefore, the lowest common multiple of 535,688,430,74 is 13618960.

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.

535 x 688 x 430 x 74 = 11712305600

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.

535 : 1, 5, 107, 535

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

430 : 1, 2, 5, 10, 43, 86, 215, 430

74 : 1, 2, 37, 74

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,688,430,74, is 1.

Now, the common factors can be found like this.

535:5x 107

688:2x 2x 2x 2x 43

430:2x 5x 43

74:2x 37

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 5x 43 = 860

Therefore, the value for common factors is 860.

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 = 11712305600/(1x860)

LCM = 11712305600/860

LCM = 13618960

Thus, we can understand that the LCM of 535,688,430,74 is 13618960.

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

• LCM of 314, 900, 998, 69
• LCM of 295, 275, 259, 17
• LCM of 927, 951, 164, 89
• LCM of 573, 686, 324, 96
• LCM of 714, 114, 358, 79

1. What is the LCM of 535, 688, 430, 74?

Answer: LCM of 535, 688, 430, 74 is 13618960.

2. How to calculate the LCM of 535, 688, 430, 74?

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 535, 688, 430, 74.

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}.