Given numbers are 840,960,646,739

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

The LCM of 840,960,646,739 is 1604043840.

Find LCM of 840,960,646,739 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 8 x 323 x 739 = 1604043840

Therefore, the lowest common multiple of 840,960,646,739 is 1604043840.

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.

840 x 960 x 646 x 739 = 384970521600

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.

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

646 : 1, 2, 17, 19, 34, 38, 323, 646

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,960,646,739, is 1.

Now, the common factors can be found like this.

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

960:2x 2x 2x 2x 2x 2x 3x 5

646:2x 17x 19

739:739

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 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 384970521600/(1x240)

LCM = 384970521600/240

LCM = 1604043840

Thus, we can understand that the LCM of 840,960,646,739 is 1604043840.

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

• LCM of 332, 520, 213, 287
• LCM of 497, 329, 309, 471
• LCM of 586, 494, 674, 551
• LCM of 138, 592, 705, 943
• LCM of 275, 174, 151, 570

1. What is the LCM of 840, 960, 646, 739?

Answer: LCM of 840, 960, 646, 739 is 1604043840.

2. How to calculate the LCM of 840, 960, 646, 739?

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 840, 960, 646, 739.

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}.