Given numbers are 967,303,756,438,492

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

The LCM of 967,303,756,438,492 is 220991902236.

Find LCM of 967,303,756,438,492 with Prime Factorization

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

2 x 2 x 3 x 967 x 101 x 63 x 73 x 41 = 220991902236

Therefore, the lowest common multiple of 967,303,756,438,492 is 220991902236.

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.

967 x 303 x 756 x 438 x 492 = 47734250882976

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.

967 : 1, 967

303 : 1, 3, 101, 303

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

438 : 1, 2, 3, 6, 73, 146, 219, 438

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,303,756,438,492, is 1.

Now, the common factors can be found like this.

967:967

303:3x 101

756:2x 2x 3x 3x 3x 7

438:2x 3x 73

492:2x 2x 3x 41

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 47734250882976/(1x216)

LCM = 47734250882976/216

LCM = 220991902236

Thus, we can understand that the LCM of 967,303,756,438,492 is 220991902236.

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

• LCM of 513, 763, 113, 732, 998
• LCM of 619, 536, 325, 897, 123
• LCM of 542, 453, 369, 621, 111
• LCM of 369, 433, 904, 156, 558
• LCM of 456, 815, 367, 189, 408

1. What is the LCM of 967, 303, 756, 438, 492?

Answer: LCM of 967, 303, 756, 438, 492 is 220991902236.

2. How to calculate the LCM of 967, 303, 756, 438, 492?

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 967, 303, 756, 438, 492.

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}.