Given numbers are 289,428,817,749

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

The LCM of 289,428,817,749 is 707394548.

Find LCM of 289,428,817,749 with Prime Factorization

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

107 x 289 x 4 x 817 x 7 = 707394548

Therefore, the lowest common multiple of 289,428,817,749 is 707394548.

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 428 x 817 x 749 = 75691216636

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

428 : 1, 2, 4, 107, 214, 428

817 : 1, 19, 43, 817

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,428,817,749, is 1.

Now, the common factors can be found like this.

289:17x 17

428:2x 2x 107

817:19x 43

749:7x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 75691216636/(1x107)

LCM = 75691216636/107

LCM = 707394548

Thus, we can understand that the LCM of 289,428,817,749 is 707394548.

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

• LCM of 428, 384, 138, 513
• LCM of 563, 737, 855, 607
• LCM of 726, 980, 403, 145
• LCM of 961, 801, 483, 985
• LCM of 972, 662, 525, 415

1. What is the LCM of 289, 428, 817, 749?

Answer: LCM of 289, 428, 817, 749 is 707394548.

2. How to calculate the LCM of 289, 428, 817, 749?

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, 428, 817, 749.

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}.