Given numbers are 289,749,364,153

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

The LCM of 289,749,364,153 is 101303748.

Find LCM of 289,749,364,153 with Prime Factorization

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

7 x 17 x 17 x 107 x 52 x 9 = 101303748

Therefore, the lowest common multiple of 289,749,364,153 is 101303748.

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.

289 x 749 x 364 x 153 = 12055146012

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.

289 : 1, 17, 289

749 : 1, 7, 107, 749

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,749,364,153, is 1.

Now, the common factors can be found like this.

289:17x 17

749:7x 107

364:2x 2x 7x 13

153:3x 3x 17

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

7x 17 = 119

Therefore, the value for common factors is 119.

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 = 12055146012/(1x119)

LCM = 12055146012/119

LCM = 101303748

Thus, we can understand that the LCM of 289,749,364,153 is 101303748.

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

• LCM of 270, 314, 379, 188
• LCM of 357, 561, 600, 234
• LCM of 568, 471, 561, 707
• LCM of 308, 370, 206, 407
• LCM of 966, 843, 743, 404

1. What is the LCM of 289, 749, 364, 153?

Answer: LCM of 289, 749, 364, 153 is 101303748.

2. How to calculate the LCM of 289, 749, 364, 153?

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 289, 749, 364, 153.

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}.