Given numbers are 35,49,87,986

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

The LCM of 35,49,87,986 is 724710.

Find LCM of 35,49,87,986 with Prime Factorization

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

7 x 29 x 5 x 7 x 3 x 34 = 724710

Therefore, the lowest common multiple of 35,49,87,986 is 724710.

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.

35 x 49 x 87 x 986 = 147116130

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.

35 : 1, 5, 7, 35

49 : 1, 7, 49

87 : 1, 3, 29, 87

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 35,49,87,986, is 1.

Now, the common factors can be found like this.

35:5x 7

49:7x 7

87:3x 29

986:2x 17x 29

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

7x 29 = 203

Therefore, the value for common factors is 203.

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 = 147116130/(1x203)

LCM = 147116130/203

LCM = 724710

Thus, we can understand that the LCM of 35,49,87,986 is 724710.

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

• LCM of 78, 48, 75, 221
• LCM of 80, 99, 91, 309
• LCM of 73, 33, 80, 571
• LCM of 80, 45, 21, 431
• LCM of 14, 12, 56, 487

1. What is the LCM of 35, 49, 87, 986?

Answer: LCM of 35, 49, 87, 986 is 724710.

2. How to calculate the LCM of 35, 49, 87, 986?

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 35, 49, 87, 986.

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}.