Given numbers are 722,698,342,146

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

The LCM of 722,698,342,146 is 165549546.

Find LCM of 722,698,342,146 with Prime Factorization

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

2 x 19 x 19 x 349 x 9 x 73 = 165549546

Therefore, the lowest common multiple of 722,698,342,146 is 165549546.

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.

722 x 698 x 342 x 146 = 25163530992

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.

722 : 1, 2, 19, 38, 361, 722

698 : 1, 2, 349, 698

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,698,342,146, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

698:2x 349

342:2x 3x 3x 19

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 19 = 76

Therefore, the value for common factors is 76.

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 = 25163530992/(2x76)

LCM = 25163530992/152

LCM = 165549546

Thus, we can understand that the LCM of 722,698,342,146 is 165549546.

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

• LCM of 212, 186, 816, 880
• LCM of 721, 259, 518, 564
• LCM of 919, 944, 712, 914
• LCM of 116, 947, 199, 422
• LCM of 730, 166, 649, 911

1. What is the LCM of 722, 698, 342, 146?

Answer: LCM of 722, 698, 342, 146 is 165549546.

2. How to calculate the LCM of 722, 698, 342, 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 722, 698, 342, 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}.