Given numbers are 98,49,35,43,821

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

The LCM of 98,49,35,43,821 is 17298470.

Find LCM of 98,49,35,43,821 with Prime Factorization

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

7 x 7 x 2 x 1 x 5 x 43 x 821 = 17298470

Therefore, the lowest common multiple of 98,49,35,43,821 is 17298470.

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.

98 x 49 x 35 x 43 x 821 = 5933375210

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.

98 : 1, 2, 7, 14, 49, 98

49 : 1, 7, 49

35 : 1, 5, 7, 35

43 : 1, 43

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 98,49,35,43,821, is 1.

Now, the common factors can be found like this.

98:2x 7x 7

49:7x 7

35:5x 7

43:43

821:821

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

7x 7x 7 = 343

Therefore, the value for common factors is 343.

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 = 5933375210/(1x343)

LCM = 5933375210/343

LCM = 17298470

Thus, we can understand that the LCM of 98,49,35,43,821 is 17298470.

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

• LCM of 23, 57, 34, 12, 573
• LCM of 88, 87, 35, 81, 464
• LCM of 40, 92, 49, 43, 456
• LCM of 57, 84, 82, 11, 717
• LCM of 36, 36, 53, 60, 426

1. What is the LCM of 98, 49, 35, 43, 821?

Answer: LCM of 98, 49, 35, 43, 821 is 17298470.

2. How to calculate the LCM of 98, 49, 35, 43, 821?

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 98, 49, 35, 43, 821.

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}.