Given numbers are 756,692,425,214

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

The LCM of 756,692,425,214 is 5947584300.

Find LCM of 756,692,425,214 with Prime Factorization

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

2 x 2 x 189 x 173 x 425 x 107 = 5947584300

Therefore, the lowest common multiple of 756,692,425,214 is 5947584300.

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.

756 x 692 x 425 x 214 = 47580674400

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.

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

692 : 1, 2, 4, 173, 346, 692

425 : 1, 5, 17, 25, 85, 425

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,692,425,214, is 1.

Now, the common factors can be found like this.

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

692:2x 2x 173

425:5x 5x 17

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 47580674400/(1x8)

LCM = 47580674400/8

LCM = 5947584300

Thus, we can understand that the LCM of 756,692,425,214 is 5947584300.

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

• LCM of 154, 884, 535, 940
• LCM of 634, 252, 434, 691
• LCM of 408, 817, 322, 443
• LCM of 687, 725, 308, 786
• LCM of 152, 486, 325, 339

1. What is the LCM of 756, 692, 425, 214?

Answer: LCM of 756, 692, 425, 214 is 5947584300.

2. How to calculate the LCM of 756, 692, 425, 214?

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 756, 692, 425, 214.

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}.