Given numbers are 778,289,987,900,746

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

The LCM of 778,289,987,900,746 is 12416371071300.

Find LCM of 778,289,987,900,746 with Prime Factorization

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

2 x 3 x 389 x 289 x 329 x 150 x 373 = 12416371071300

Therefore, the lowest common multiple of 778,289,987,900,746 is 12416371071300.

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.

778 x 289 x 987 x 900 x 746 = 148996452855600

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.

778 : 1, 2, 389, 778

289 : 1, 17, 289

987 : 1, 3, 7, 21, 47, 141, 329, 987

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,289,987,900,746, is 1.

Now, the common factors can be found like this.

778:2x 389

289:17x 17

987:3x 7x 47

900:2x 2x 3x 3x 5x 5

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.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 148996452855600/(1x12)

LCM = 148996452855600/12

LCM = 12416371071300

Thus, we can understand that the LCM of 778,289,987,900,746 is 12416371071300.

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

• LCM of 780, 416, 130, 946, 878
• LCM of 279, 920, 260, 140, 355
• LCM of 951, 604, 156, 815, 371
• LCM of 222, 465, 455, 802, 745
• LCM of 716, 977, 994, 786, 401

1. What is the LCM of 778, 289, 987, 900, 746?

Answer: LCM of 778, 289, 987, 900, 746 is 12416371071300.

2. How to calculate the LCM of 778, 289, 987, 900, 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 778, 289, 987, 900, 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}.