Given numbers are 469,412,557,35

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

The LCM of 469,412,557,35 is 538139980.

Find LCM of 469,412,557,35 with Prime Factorization

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

7 x 67 x 412 x 557 x 5 = 538139980

Therefore, the lowest common multiple of 469,412,557,35 is 538139980.

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.

469 x 412 x 557 x 35 = 3766979860

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.

469 : 1, 7, 67, 469

412 : 1, 2, 4, 103, 206, 412

557 : 1, 557

35 : 1, 5, 7, 35

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,412,557,35, is 1.

Now, the common factors can be found like this.

469:7x 67

412:2x 2x 103

557:557

35:5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7 = 7

Therefore, the value for common factors is 7.

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 = 3766979860/(1x7)

LCM = 3766979860/7

LCM = 538139980

Thus, we can understand that the LCM of 469,412,557,35 is 538139980.

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

• LCM of 258, 847, 895, 15
• LCM of 538, 468, 883, 70
• LCM of 755, 129, 219, 35
• LCM of 473, 141, 403, 90
• LCM of 947, 956, 776, 17

1. What is the LCM of 469, 412, 557, 35?

Answer: LCM of 469, 412, 557, 35 is 538139980.

2. How to calculate the LCM of 469, 412, 557, 35?

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 469, 412, 557, 35.

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}.