Given numbers are 677,292,698,146

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

The LCM of 677,292,698,146 is 68991716.

Find LCM of 677,292,698,146 with Prime Factorization

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

2 x 73 x 677 x 2 x 349 x 1 = 68991716

Therefore, the lowest common multiple of 677,292,698,146 is 68991716.

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.

677 x 292 x 698 x 146 = 20145581072

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.

677 : 1, 677

292 : 1, 2, 4, 73, 146, 292

698 : 1, 2, 349, 698

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,292,698,146, is 1.

Now, the common factors can be found like this.

677:677

292:2x 2x 73

698:2x 349

146:2x 73

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 73 = 292

Therefore, the value for common factors is 292.

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 = 20145581072/(1x292)

LCM = 20145581072/292

LCM = 68991716

Thus, we can understand that the LCM of 677,292,698,146 is 68991716.

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

• LCM of 636, 894, 180, 596
• LCM of 449, 701, 782, 306
• LCM of 821, 782, 366, 984
• LCM of 738, 843, 164, 324
• LCM of 334, 907, 858, 391

1. What is the LCM of 677, 292, 698, 146?

Answer: LCM of 677, 292, 698, 146 is 68991716.

2. How to calculate the LCM of 677, 292, 698, 146?

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 677, 292, 698, 146.

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}.