Given numbers are 760,990,262,679,974

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

The LCM of 760,990,262,679,974 is 3259258584120.

Find LCM of 760,990,262,679,974 with Prime Factorization

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

2 x 5 x 76 x 99 x 131 x 679 x 487 = 3259258584120

Therefore, the lowest common multiple of 760,990,262,679,974 is 3259258584120.

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.

760 x 990 x 262 x 679 x 974 = 130370343364800

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.

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

262 : 1, 2, 131, 262

679 : 1, 7, 97, 679

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,990,262,679,974, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

990:2x 3x 3x 5x 11

262:2x 131

679:7x 97

974:2x 487

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 5 = 40

Therefore, the value for common factors is 40.

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 = 130370343364800/(1x40)

LCM = 130370343364800/40

LCM = 3259258584120

Thus, we can understand that the LCM of 760,990,262,679,974 is 3259258584120.

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

• LCM of 944, 475, 105, 368, 317
• LCM of 432, 275, 968, 442, 944
• LCM of 227, 375, 486, 758, 810
• LCM of 650, 886, 821, 638, 769
• LCM of 464, 484, 955, 773, 931

1. What is the LCM of 760, 990, 262, 679, 974?

Answer: LCM of 760, 990, 262, 679, 974 is 3259258584120.

2. How to calculate the LCM of 760, 990, 262, 679, 974?

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 760, 990, 262, 679, 974.

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}.