Given numbers are 697,744,312,434

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

The LCM of 697,744,312,434 is 47189688.

Find LCM of 697,744,312,434 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 697 x 1 x 13 x 7 = 47189688

Therefore, the lowest common multiple of 697,744,312,434 is 47189688.

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.

697 x 744 x 312 x 434 = 70218255744

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.

697 : 1, 17, 41, 697

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,744,312,434, is 1.

Now, the common factors can be found like this.

697:17x 41

744:2x 2x 2x 3x 31

312:2x 2x 2x 3x 13

434:2x 7x 31

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 31 = 1488

Therefore, the value for common factors is 1488.

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 = 70218255744/(1x1488)

LCM = 70218255744/1488

LCM = 47189688

Thus, we can understand that the LCM of 697,744,312,434 is 47189688.

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

• LCM of 612, 898, 839, 386
• LCM of 991, 819, 818, 400
• LCM of 369, 978, 499, 447
• LCM of 404, 665, 319, 100
• LCM of 352, 895, 855, 735

1. What is the LCM of 697, 744, 312, 434?

Answer: LCM of 697, 744, 312, 434 is 47189688.

2. How to calculate the LCM of 697, 744, 312, 434?

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 697, 744, 312, 434.

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}.