Given numbers are 869,504,140,632,980

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

The LCM of 869,504,140,632,980 is 15329160.

Find LCM of 869,504,140,632,980 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 79 x 11 x 9 x 1 x 1 x 7 = 15329160

Therefore, the lowest common multiple of 869,504,140,632,980 is 15329160.

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.

869 x 504 x 140 x 632 x 980 = 37977074150400

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.

869 : 1, 11, 79, 869

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

632 : 1, 2, 4, 8, 79, 158, 316, 632

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,504,140,632,980, is 1.

Now, the common factors can be found like this.

869:11x 79

504:2x 2x 2x 3x 3x 7

140:2x 2x 5x 7

632:2x 2x 2x 79

980:2x 2x 5x 7x 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 2x 2x 5x 7x 7x 79 = 2477440

Therefore, the value for common factors is 2477440.

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 = 37977074150400/(1x2477440)

LCM = 37977074150400/2477440

LCM = 15329160

Thus, we can understand that the LCM of 869,504,140,632,980 is 15329160.

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

• LCM of 349, 343, 503, 629, 951
• LCM of 238, 820, 239, 438, 232
• LCM of 493, 472, 980, 929, 978
• LCM of 989, 109, 866, 960, 151
• LCM of 161, 485, 493, 696, 881

1. What is the LCM of 869, 504, 140, 632, 980?

Answer: LCM of 869, 504, 140, 632, 980 is 15329160.

2. How to calculate the LCM of 869, 504, 140, 632, 980?

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 869, 504, 140, 632, 980.

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}.