Given numbers are 94,76,53,19,829

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

The LCM of 94,76,53,19,829 is 156942964.

Find LCM of 94,76,53,19,829 with Prime Factorization

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

2 x 19 x 47 x 2 x 53 x 1 x 829 = 156942964

Therefore, the lowest common multiple of 94,76,53,19,829 is 156942964.

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.

94 x 76 x 53 x 19 x 829 = 5963832632

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.

94 : 1, 2, 47, 94

76 : 1, 2, 4, 19, 38, 76

53 : 1, 53

19 : 1, 19

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 94,76,53,19,829, is 1.

Now, the common factors can be found like this.

94:2x 47

76:2x 2x 19

53:53

19:19

829:829

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 5963832632/(1x38)

LCM = 5963832632/38

LCM = 156942964

Thus, we can understand that the LCM of 94,76,53,19,829 is 156942964.

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

• LCM of 17, 55, 43, 20, 806
• LCM of 34, 37, 89, 14, 554
• LCM of 36, 87, 36, 52, 808
• LCM of 82, 70, 37, 18, 884
• LCM of 15, 16, 79, 84, 801

1. What is the LCM of 94, 76, 53, 19, 829?

Answer: LCM of 94, 76, 53, 19, 829 is 156942964.

2. How to calculate the LCM of 94, 76, 53, 19, 829?

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 94, 76, 53, 19, 829.

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}.