Given numbers are 678,906,214,689,737

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

The LCM of 678,906,214,689,737 is 5562590997678.

Find LCM of 678,906,214,689,737 with Prime Factorization

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

2 x 3 x 113 x 151 x 107 x 689 x 737 = 5562590997678

Therefore, the lowest common multiple of 678,906,214,689,737 is 5562590997678.

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.

678 x 906 x 214 x 689 x 737 = 66751091972136

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

906 : 1, 2, 3, 6, 151, 302, 453, 906

214 : 1, 2, 107, 214

689 : 1, 13, 53, 689

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,906,214,689,737, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

906:2x 3x 151

214:2x 107

689:13x 53

737:11x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 66751091972136/(1x12)

LCM = 66751091972136/12

LCM = 5562590997678

Thus, we can understand that the LCM of 678,906,214,689,737 is 5562590997678.

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

• LCM of 367, 821, 943, 499, 245
• LCM of 280, 759, 598, 376, 101
• LCM of 176, 855, 839, 915, 622
• LCM of 981, 858, 325, 259, 142
• LCM of 112, 289, 162, 443, 659

1. What is the LCM of 678, 906, 214, 689, 737?

Answer: LCM of 678, 906, 214, 689, 737 is 5562590997678.

2. How to calculate the LCM of 678, 906, 214, 689, 737?

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 678, 906, 214, 689, 737.

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}.