Given numbers are 761,376,682,724,560

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

The LCM of 761,376,682,724,560 is 1236242003920.

Find LCM of 761,376,682,724,560 with Prime Factorization

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

2 x 2 x 2 x 761 x 47 x 341 x 181 x 70 = 1236242003920

Therefore, the lowest common multiple of 761,376,682,724,560 is 1236242003920.

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.

761 x 376 x 682 x 724 x 560 = 79119488250880

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.

761 : 1, 761

376 : 1, 2, 4, 8, 47, 94, 188, 376

682 : 1, 2, 11, 22, 31, 62, 341, 682

724 : 1, 2, 4, 181, 362, 724

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,376,682,724,560, is 1.

Now, the common factors can be found like this.

761:761

376:2x 2x 2x 47

682:2x 11x 31

724:2x 2x 181

560:2x 2x 2x 2x 5x 7

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 79119488250880/(1x64)

LCM = 79119488250880/64

LCM = 1236242003920

Thus, we can understand that the LCM of 761,376,682,724,560 is 1236242003920.

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

• LCM of 478, 428, 993, 996, 284
• LCM of 365, 406, 521, 131, 650
• LCM of 998, 111, 250, 710, 579
• LCM of 989, 461, 359, 781, 697
• LCM of 697, 650, 584, 673, 978

1. What is the LCM of 761, 376, 682, 724, 560?

Answer: LCM of 761, 376, 682, 724, 560 is 1236242003920.

2. How to calculate the LCM of 761, 376, 682, 724, 560?

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 761, 376, 682, 724, 560.

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}.