Given numbers are 753,249,689,996,528

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

The LCM of 753,249,689,996,528 is 7578878736.

Find LCM of 753,249,689,996,528 with Prime Factorization

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

2 x 2 x 3 x 83 x 251 x 1 x 689 x 1 x 44 = 7578878736

Therefore, the lowest common multiple of 753,249,689,996,528 is 7578878736.

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.

753 x 249 x 689 x 996 x 528 = 67937068989504

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.

753 : 1, 3, 251, 753

249 : 1, 3, 83, 249

689 : 1, 13, 53, 689

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,249,689,996,528, is 1.

Now, the common factors can be found like this.

753:3x 251

249:3x 83

689:13x 53

996:2x 2x 3x 83

528:2x 2x 2x 2x 3x 11

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

2x 2x 3x 3x 3x 83 = 8964

Therefore, the value for common factors is 8964.

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 = 67937068989504/(1x8964)

LCM = 67937068989504/8964

LCM = 7578878736

Thus, we can understand that the LCM of 753,249,689,996,528 is 7578878736.

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

• LCM of 869, 505, 200, 254, 967
• LCM of 152, 490, 915, 903, 150
• LCM of 834, 401, 830, 103, 116
• LCM of 643, 580, 348, 894, 637
• LCM of 781, 304, 103, 435, 158

1. What is the LCM of 753, 249, 689, 996, 528?

Answer: LCM of 753, 249, 689, 996, 528 is 7578878736.

2. How to calculate the LCM of 753, 249, 689, 996, 528?

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 753, 249, 689, 996, 528.

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}.