Given numbers are 402,691,984,558,840

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

The LCM of 402,691,984,558,840 is 148285587240.

Find LCM of 402,691,984,558,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 691 x 41 x 93 x 35 = 148285587240

Therefore, the lowest common multiple of 402,691,984,558,840 is 148285587240.

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.

402 x 691 x 984 x 558 x 840 = 128118747375360

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

691 : 1, 691

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,691,984,558,840, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

691:691

984:2x 2x 2x 3x 41

558:2x 3x 3x 31

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

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 128118747375360/(1x864)

LCM = 128118747375360/864

LCM = 148285587240

Thus, we can understand that the LCM of 402,691,984,558,840 is 148285587240.

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

• LCM of 606, 858, 664, 524, 235
• LCM of 294, 959, 888, 295, 526
• LCM of 978, 535, 843, 312, 618
• LCM of 359, 492, 210, 604, 961
• LCM of 304, 192, 832, 220, 115

1. What is the LCM of 402, 691, 984, 558, 840?

Answer: LCM of 402, 691, 984, 558, 840 is 148285587240.

2. How to calculate the LCM of 402, 691, 984, 558, 840?

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 402, 691, 984, 558, 840.

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}.