Given numbers are 946,493,101,87

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

The LCM of 946,493,101,87 is 141312534.

Find LCM of 946,493,101,87 with Prime Factorization

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

29 x 946 x 17 x 101 x 3 = 141312534

Therefore, the lowest common multiple of 946,493,101,87 is 141312534.

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.

946 x 493 x 101 x 87 = 4098063486

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

493 : 1, 17, 29, 493

101 : 1, 101

87 : 1, 3, 29, 87

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,493,101,87, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

493:17x 29

101:101

87:3x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 4098063486/(1x29)

LCM = 4098063486/29

LCM = 141312534

Thus, we can understand that the LCM of 946,493,101,87 is 141312534.

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

• LCM of 977, 949, 695, 97
• LCM of 891, 445, 841, 71
• LCM of 621, 262, 790, 73
• LCM of 266, 917, 364, 61
• LCM of 658, 374, 191, 87

1. What is the LCM of 946, 493, 101, 87?

Answer: LCM of 946, 493, 101, 87 is 141312534.

2. How to calculate the LCM of 946, 493, 101, 87?

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 946, 493, 101, 87.

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}.