Given numbers are 714,769,982,538

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

The LCM of 714,769,982,538 is 72520088214.

Find LCM of 714,769,982,538 with Prime Factorization

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

2 x 357 x 769 x 491 x 269 = 72520088214

Therefore, the lowest common multiple of 714,769,982,538 is 72520088214.

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.

714 x 769 x 982 x 538 = 290080352856

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

769 : 1, 769

982 : 1, 2, 491, 982

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,769,982,538, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

769:769

982:2x 491

538:2x 269

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 = 290080352856/(1x4)

LCM = 290080352856/4

LCM = 72520088214

Thus, we can understand that the LCM of 714,769,982,538 is 72520088214.

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

• LCM of 477, 686, 446, 891
• LCM of 787, 100, 899, 449
• LCM of 979, 269, 176, 629
• LCM of 163, 193, 119, 256
• LCM of 792, 275, 970, 933

1. What is the LCM of 714, 769, 982, 538?

Answer: LCM of 714, 769, 982, 538 is 72520088214.

2. How to calculate the LCM of 714, 769, 982, 538?

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 714, 769, 982, 538.

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}.