Given numbers are 614,496,952,973,201

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

The LCM of 614,496,952,973,201 is 506264961552.

Find LCM of 614,496,952,973,201 with Prime Factorization

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

2 x 2 x 2 x 7 x 307 x 62 x 17 x 139 x 201 = 506264961552

Therefore, the lowest common multiple of 614,496,952,973,201 is 506264961552.

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.

614 x 496 x 952 x 973 x 201 = 56701675693824

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.

614 : 1, 2, 307, 614

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

973 : 1, 7, 139, 973

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,496,952,973,201, is 1.

Now, the common factors can be found like this.

614:2x 307

496:2x 2x 2x 2x 31

952:2x 2x 2x 7x 17

973:7x 139

201:3x 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 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 56701675693824/(1x112)

LCM = 56701675693824/112

LCM = 506264961552

Thus, we can understand that the LCM of 614,496,952,973,201 is 506264961552.

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

• LCM of 398, 532, 978, 272, 550
• LCM of 958, 628, 137, 638, 124
• LCM of 475, 789, 151, 773, 157
• LCM of 518, 450, 822, 301, 589
• LCM of 676, 107, 616, 910, 110

1. What is the LCM of 614, 496, 952, 973, 201?

Answer: LCM of 614, 496, 952, 973, 201 is 506264961552.

2. How to calculate the LCM of 614, 496, 952, 973, 201?

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 614, 496, 952, 973, 201.

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}.