Given numbers are 813,978,437,514

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

The LCM of 813,978,437,514 is 29766152742.

Find LCM of 813,978,437,514 with Prime Factorization

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

2 x 3 x 271 x 163 x 437 x 257 = 29766152742

Therefore, the lowest common multiple of 813,978,437,514 is 29766152742.

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.

813 x 978 x 437 x 514 = 178596916452

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.

813 : 1, 3, 271, 813

978 : 1, 2, 3, 6, 163, 326, 489, 978

437 : 1, 19, 23, 437

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,978,437,514, is 1.

Now, the common factors can be found like this.

813:3x 271

978:2x 3x 163

437:19x 23

514:2x 257

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 178596916452/(1x6)

LCM = 178596916452/6

LCM = 29766152742

Thus, we can understand that the LCM of 813,978,437,514 is 29766152742.

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

• LCM of 129, 576, 969, 143
• LCM of 550, 210, 674, 124
• LCM of 753, 826, 197, 513
• LCM of 960, 282, 936, 483
• LCM of 691, 279, 476, 143

1. What is the LCM of 813, 978, 437, 514?

Answer: LCM of 813, 978, 437, 514 is 29766152742.

2. How to calculate the LCM of 813, 978, 437, 514?

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 813, 978, 437, 514.

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}.