Given numbers are 756,806,840,326

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

The LCM of 756,806,840,326 is 496608840.

Find LCM of 756,806,840,326 with Prime Factorization

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

2 x 2 x 3 x 7 x 9 x 403 x 10 x 163 = 496608840

Therefore, the lowest common multiple of 756,806,840,326 is 496608840.

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 806 x 840 x 326 = 166860570240

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,806,840,326, is 2.

Now, the common factors can be found like this.

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

806:2x 13x 31

840:2x 2x 2x 3x 5x 7

326:2x 163

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 7 = 168

Therefore, the value for common factors is 168.

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 = 166860570240/(2x168)

LCM = 166860570240/336

LCM = 496608840

Thus, we can understand that the LCM of 756,806,840,326 is 496608840.

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

• LCM of 364, 217, 230, 285
• LCM of 945, 402, 523, 369
• LCM of 634, 944, 234, 178
• LCM of 500, 947, 254, 645
• LCM of 393, 426, 591, 708

1. What is the LCM of 756, 806, 840, 326?

Answer: LCM of 756, 806, 840, 326 is 496608840.

2. How to calculate the LCM of 756, 806, 840, 326?

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, 806, 840, 326.

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}.