Given numbers are 367,146,814,970

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

The LCM of 367,146,814,970 is 10576818890.

Find LCM of 367,146,814,970 with Prime Factorization

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

2 x 367 x 73 x 407 x 485 = 10576818890

Therefore, the lowest common multiple of 367,146,814,970 is 10576818890.

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.

367 x 146 x 814 x 970 = 42307275560

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.

367 : 1, 367

146 : 1, 2, 73, 146

814 : 1, 2, 11, 22, 37, 74, 407, 814

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,146,814,970, is 1.

Now, the common factors can be found like this.

367:367

146:2x 73

814:2x 11x 37

970:2x 5x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 42307275560/(1x4)

LCM = 42307275560/4

LCM = 10576818890

Thus, we can understand that the LCM of 367,146,814,970 is 10576818890.

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

• LCM of 197, 828, 843, 681
• LCM of 262, 492, 857, 130
• LCM of 114, 925, 718, 294
• LCM of 756, 818, 118, 929
• LCM of 655, 108, 606, 513

1. What is the LCM of 367, 146, 814, 970?

Answer: LCM of 367, 146, 814, 970 is 10576818890.

2. How to calculate the LCM of 367, 146, 814, 970?

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 367, 146, 814, 970.

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}.