Given numbers are 23,98,49,29,689

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

The LCM of 23,98,49,29,689 is 45037174.

Find LCM of 23,98,49,29,689 with Prime Factorization

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

7 x 7 x 23 x 2 x 1 x 29 x 689 = 45037174

Therefore, the lowest common multiple of 23,98,49,29,689 is 45037174.

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.

23 x 98 x 49 x 29 x 689 = 2206821526

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.

23 : 1, 23

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

49 : 1, 7, 49

29 : 1, 29

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 23,98,49,29,689, is 1.

Now, the common factors can be found like this.

23:23

98:2x 7x 7

49:7x 7

29:29

689:13x 53

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 2206821526/(1x49)

LCM = 2206821526/49

LCM = 45037174

Thus, we can understand that the LCM of 23,98,49,29,689 is 45037174.

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

• LCM of 45, 90, 44, 75, 159
• LCM of 71, 44, 34, 73, 468
• LCM of 10, 20, 87, 99, 321
• LCM of 60, 10, 73, 38, 690
• LCM of 54, 52, 66, 64, 185

1. What is the LCM of 23, 98, 49, 29, 689?

Answer: LCM of 23, 98, 49, 29, 689 is 45037174.

2. How to calculate the LCM of 23, 98, 49, 29, 689?

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 23, 98, 49, 29, 689.

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}.