Given numbers are 45,71,49,78,299

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

The LCM of 45,71,49,78,299 is 93619890.

Find LCM of 45,71,49,78,299 with Prime Factorization

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

3 x 13 x 15 x 71 x 49 x 2 x 23 = 93619890

Therefore, the lowest common multiple of 45,71,49,78,299 is 93619890.

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.

45 x 71 x 49 x 78 x 299 = 3651175710

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.

45 : 1, 3, 5, 9, 15, 45

71 : 1, 71

49 : 1, 7, 49

78 : 1, 2, 3, 6, 13, 26, 39, 78

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 45,71,49,78,299, is 1.

Now, the common factors can be found like this.

45:3x 3x 5

71:71

49:7x 7

78:2x 3x 13

299:13x 23

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 3651175710/(1x39)

LCM = 3651175710/39

LCM = 93619890

Thus, we can understand that the LCM of 45,71,49,78,299 is 93619890.

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

• LCM of 63, 35, 85, 84, 439
• LCM of 77, 39, 62, 36, 719
• LCM of 49, 41, 54, 68, 103
• LCM of 13, 73, 57, 63, 786
• LCM of 90, 83, 37, 82, 517

1. What is the LCM of 45, 71, 49, 78, 299?

Answer: LCM of 45, 71, 49, 78, 299 is 93619890.

2. How to calculate the LCM of 45, 71, 49, 78, 299?

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 45, 71, 49, 78, 299.

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}.