Given numbers are 689,763,545,936

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

The LCM of 689,763,545,936 is 189254520.

Find LCM of 689,763,545,936 with Prime Factorization

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

13 x 109 x 53 x 7 x 5 x 72 = 189254520

Therefore, the lowest common multiple of 689,763,545,936 is 189254520.

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.

689 x 763 x 545 x 936 = 268173654840

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.

689 : 1, 13, 53, 689

763 : 1, 7, 109, 763

545 : 1, 5, 109, 545

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,763,545,936, is 1.

Now, the common factors can be found like this.

689:13x 53

763:7x 109

545:5x 109

936:2x 2x 2x 3x 3x 13

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

13x 109 = 1417

Therefore, the value for common factors is 1417.

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 = 268173654840/(1x1417)

LCM = 268173654840/1417

LCM = 189254520

Thus, we can understand that the LCM of 689,763,545,936 is 189254520.

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

• LCM of 233, 224, 210, 570
• LCM of 548, 250, 259, 662
• LCM of 278, 851, 185, 116
• LCM of 607, 121, 648, 284
• LCM of 999, 773, 950, 737

1. What is the LCM of 689, 763, 545, 936?

Answer: LCM of 689, 763, 545, 936 is 189254520.

2. How to calculate the LCM of 689, 763, 545, 936?

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 689, 763, 545, 936.

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}.