Given numbers are 117,146,320,292,931

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

The LCM of 117,146,320,292,931 is 2544534720.

Find LCM of 117,146,320,292,931 with Prime Factorization

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

2 x 2 x 73 x 117 x 1 x 80 x 1 x 931 = 2544534720

Therefore, the lowest common multiple of 117,146,320,292,931 is 2544534720.

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.

117 x 146 x 320 x 292 x 931 = 1486008276480

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.

117 : 1, 3, 9, 13, 39, 117

146 : 1, 2, 73, 146

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

292 : 1, 2, 4, 73, 146, 292

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,146,320,292,931, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

146:2x 73

320:2x 2x 2x 2x 2x 2x 5

292:2x 2x 73

931:7x 7x 19

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 73 = 584

Therefore, the value for common factors is 584.

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 = 1486008276480/(1x584)

LCM = 1486008276480/584

LCM = 2544534720

Thus, we can understand that the LCM of 117,146,320,292,931 is 2544534720.

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

• LCM of 958, 798, 347, 697, 938
• LCM of 228, 962, 278, 577, 775
• LCM of 685, 569, 928, 575, 229
• LCM of 380, 924, 851, 893, 140
• LCM of 194, 956, 483, 362, 766

1. What is the LCM of 117, 146, 320, 292, 931?

Answer: LCM of 117, 146, 320, 292, 931 is 2544534720.

2. How to calculate the LCM of 117, 146, 320, 292, 931?

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 117, 146, 320, 292, 931.

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}.