Given numbers are 778,760,409,789,746

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

The LCM of 778,760,409,789,746 is 35585439717720.

Find LCM of 778,760,409,789,746 with Prime Factorization

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

2 x 389 x 380 x 409 x 789 x 373 = 35585439717720

Therefore, the lowest common multiple of 778,760,409,789,746 is 35585439717720.

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 760 x 409 x 789 x 746 = 142341758870880

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

409 : 1, 409

789 : 1, 3, 263, 789

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,760,409,789,746, is 1.

Now, the common factors can be found like this.

778:2x 389

760:2x 2x 2x 5x 19

409:409

789:3x 263

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 2 = 4

Therefore, the value for common factors is 4.

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 = 142341758870880/(1x4)

LCM = 142341758870880/4

LCM = 35585439717720

Thus, we can understand that the LCM of 778,760,409,789,746 is 35585439717720.

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

• LCM of 377, 704, 557, 943, 972
• LCM of 211, 460, 151, 298, 293
• LCM of 708, 267, 986, 883, 823
• LCM of 216, 384, 588, 653, 454
• LCM of 160, 176, 489, 106, 123

1. What is the LCM of 778, 760, 409, 789, 746?

Answer: LCM of 778, 760, 409, 789, 746 is 35585439717720.

2. How to calculate the LCM of 778, 760, 409, 789, 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, 760, 409, 789, 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}.