Given numbers are 714,398,746

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

The LCM of 714,398,746 is 52998078.

Find LCM of 714,398,746 with Prime Factorization

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

2 x 357 x 199 x 373 = 52998078

Therefore, the lowest common multiple of 714,398,746 is 52998078.

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 398 x 746 = 211992312

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

398 : 1, 2, 199, 398

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,398,746, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

398:2x 199

746:2x 373

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 211992312/(2x2)

LCM = 211992312/4

LCM = 52998078

Thus, we can understand that the LCM of 714,398,746 is 52998078.

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

• LCM of 457, 142, 821
• LCM of 164, 574, 168
• LCM of 631, 284, 316
• LCM of 777, 751, 998
• LCM of 234, 417, 684

1. What is the LCM of 714, 398, 746?

Answer: LCM of 714, 398, 746 is 52998078.

2. How to calculate the LCM of 714, 398, 746?

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, 398, 746.

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}.