Given numbers are 714,234,744,402

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

The LCM of 714,234,744,402 is 231344568.

Find LCM of 714,234,744,402 with Prime Factorization

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

2 x 3 x 119 x 39 x 124 x 67 = 231344568

Therefore, the lowest common multiple of 714,234,744,402 is 231344568.

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 234 x 744 x 402 = 49970426688

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,234,744,402, is 6.

Now, the common factors can be found like this.

714:2x 3x 7x 17

234:2x 3x 3x 13

744:2x 2x 2x 3x 31

402:2x 3x 67

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 49970426688/(6x36)

LCM = 49970426688/216

LCM = 231344568

Thus, we can understand that the LCM of 714,234,744,402 is 231344568.

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

• LCM of 589, 708, 692, 844
• LCM of 357, 262, 228, 941
• LCM of 419, 564, 754, 758
• LCM of 505, 931, 603, 870
• LCM of 324, 630, 659, 806

1. What is the LCM of 714, 234, 744, 402?

Answer: LCM of 714, 234, 744, 402 is 231344568.

2. How to calculate the LCM of 714, 234, 744, 402?

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, 234, 744, 402.

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}.