Given numbers are 660,840,116,100,971

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

The LCM of 660,840,116,100,971 is 1300945800.

Find LCM of 660,840,116,100,971 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 14 x 29 x 5 x 971 = 1300945800

Therefore, the lowest common multiple of 660,840,116,100,971 is 1300945800.

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.

660 x 840 x 116 x 100 x 971 = 6244539840000

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

116 : 1, 2, 4, 29, 58, 116

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,840,116,100,971, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

840:2x 2x 2x 3x 5x 7

116:2x 2x 29

100:2x 2x 5x 5

971:971

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 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 6244539840000/(1x4800)

LCM = 6244539840000/4800

LCM = 1300945800

Thus, we can understand that the LCM of 660,840,116,100,971 is 1300945800.

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

• LCM of 163, 947, 611, 559, 520
• LCM of 448, 728, 586, 333, 709
• LCM of 610, 211, 889, 267, 178
• LCM of 533, 154, 946, 705, 516
• LCM of 967, 298, 227, 178, 224

1. What is the LCM of 660, 840, 116, 100, 971?

Answer: LCM of 660, 840, 116, 100, 971 is 1300945800.

2. How to calculate the LCM of 660, 840, 116, 100, 971?

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 660, 840, 116, 100, 971.

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}.