Given numbers are 38,19,57,65,767

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

The LCM of 38,19,57,65,767 is 437190.

Find LCM of 38,19,57,65,767 with Prime Factorization

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

13 x 19 x 2 x 1 x 3 x 5 x 59 = 437190

Therefore, the lowest common multiple of 38,19,57,65,767 is 437190.

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.

38 x 19 x 57 x 65 x 767 = 2051732670

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.

38 : 1, 2, 19, 38

19 : 1, 19

57 : 1, 3, 19, 57

65 : 1, 5, 13, 65

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,19,57,65,767, is 1.

Now, the common factors can be found like this.

38:2x 19

19:19

57:3x 19

65:5x 13

767:13x 59

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

13x 19x 19 = 4693

Therefore, the value for common factors is 4693.

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 = 2051732670/(1x4693)

LCM = 2051732670/4693

LCM = 437190

Thus, we can understand that the LCM of 38,19,57,65,767 is 437190.

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

• LCM of 14, 38, 91, 87, 257
• LCM of 79, 34, 84, 67, 691
• LCM of 70, 61, 89, 35, 120
• LCM of 57, 70, 55, 20, 816
• LCM of 69, 25, 12, 41, 817

1. What is the LCM of 38, 19, 57, 65, 767?

Answer: LCM of 38, 19, 57, 65, 767 is 437190.

2. How to calculate the LCM of 38, 19, 57, 65, 767?

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 38, 19, 57, 65, 767.

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}.