Given numbers are 769,221,289,748

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

The LCM of 769,221,289,748 is 127121852.

Find LCM of 769,221,289,748 with Prime Factorization

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

17 x 769 x 13 x 17 x 44 = 127121852

Therefore, the lowest common multiple of 769,221,289,748 is 127121852.

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.

769 x 221 x 289 x 748 = 36738215228

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.

769 : 1, 769

221 : 1, 13, 17, 221

289 : 1, 17, 289

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,221,289,748, is 1.

Now, the common factors can be found like this.

769:769

221:13x 17

289:17x 17

748:2x 2x 11x 17

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 36738215228/(1x289)

LCM = 36738215228/289

LCM = 127121852

Thus, we can understand that the LCM of 769,221,289,748 is 127121852.

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

• LCM of 605, 603, 206, 801
• LCM of 137, 973, 586, 392
• LCM of 108, 987, 376, 951
• LCM of 776, 507, 167, 387
• LCM of 788, 963, 850, 713

1. What is the LCM of 769, 221, 289, 748?

Answer: LCM of 769, 221, 289, 748 is 127121852.

2. How to calculate the LCM of 769, 221, 289, 748?

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 769, 221, 289, 748.

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}.