Given numbers are 48,22,49,97,970

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

The LCM of 48,22,49,97,970 is 12547920.

Find LCM of 48,22,49,97,970 with Prime Factorization

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

2 x 97 x 24 x 11 x 49 x 1 x 5 = 12547920

Therefore, the lowest common multiple of 48,22,49,97,970 is 12547920.

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.

48 x 22 x 49 x 97 x 970 = 4868592960

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.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

22 : 1, 2, 11, 22

49 : 1, 7, 49

97 : 1, 97

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,22,49,97,970, is 1.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

22:2x 11

49:7x 7

97:97

970:2x 5x 97

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

2x 2x 97 = 388

Therefore, the value for common factors is 388.

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 = 4868592960/(1x388)

LCM = 4868592960/388

LCM = 12547920

Thus, we can understand that the LCM of 48,22,49,97,970 is 12547920.

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

• LCM of 62, 35, 74, 88, 270
• LCM of 56, 10, 33, 70, 350
• LCM of 28, 88, 83, 18, 549
• LCM of 91, 54, 15, 11, 728
• LCM of 82, 92, 52, 68, 986

1. What is the LCM of 48, 22, 49, 97, 970?

Answer: LCM of 48, 22, 49, 97, 970 is 12547920.

2. How to calculate the LCM of 48, 22, 49, 97, 970?

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 48, 22, 49, 97, 970.

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}.