Given numbers are 688,698,975,702

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

The LCM of 688,698,975,702 is 2106982800.

Find LCM of 688,698,975,702 with Prime Factorization

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

2 x 3 x 13 x 344 x 349 x 25 x 9 = 2106982800

Therefore, the lowest common multiple of 688,698,975,702 is 2106982800.

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.

688 x 698 x 975 x 702 = 328689316800

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

698 : 1, 2, 349, 698

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,698,975,702, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

698:2x 349

975:3x 5x 5x 13

702:2x 3x 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.

2x 2x 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 328689316800/(1x156)

LCM = 328689316800/156

LCM = 2106982800

Thus, we can understand that the LCM of 688,698,975,702 is 2106982800.

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

• LCM of 759, 408, 411, 692
• LCM of 191, 867, 725, 485
• LCM of 301, 706, 256, 107
• LCM of 400, 564, 732, 410
• LCM of 773, 975, 226, 203

1. What is the LCM of 688, 698, 975, 702?

Answer: LCM of 688, 698, 975, 702 is 2106982800.

2. How to calculate the LCM of 688, 698, 975, 702?

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 688, 698, 975, 702.

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}.