Given numbers are 973,170,468

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

The LCM of 973,170,468 is 38705940.

Find LCM of 973,170,468 with Prime Factorization

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

2 x 973 x 85 x 234 = 38705940

Therefore, the lowest common multiple of 973,170,468 is 38705940.

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.

973 x 170 x 468 = 77411880

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.

973 : 1, 7, 139, 973

170 : 1, 2, 5, 10, 17, 34, 85, 170

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,170,468, is 1.

Now, the common factors can be found like this.

973:7x 139

170:2x 5x 17

468:2x 2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 77411880/(1x2)

LCM = 77411880/2

LCM = 38705940

Thus, we can understand that the LCM of 973,170,468 is 38705940.

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

• LCM of 146, 693, 543
• LCM of 396, 580, 932
• LCM of 395, 720, 988
• LCM of 241, 521, 124
• LCM of 190, 383, 478

1. What is the LCM of 973, 170, 468?

Answer: LCM of 973, 170, 468 is 38705940.

2. How to calculate the LCM of 973, 170, 468?

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 973, 170, 468.

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}.