Given numbers are 302,714,994,110,672

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

The LCM of 302,714,994,110,672 is 6736218720.

Find LCM of 302,714,994,110,672 with Prime Factorization

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

2 x 3 x 7 x 151 x 17 x 71 x 55 x 16 = 6736218720

Therefore, the lowest common multiple of 302,714,994,110,672 is 6736218720.

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.

302 x 714 x 994 x 110 x 672 = 15843586429440

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.

302 : 1, 2, 151, 302

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

994 : 1, 2, 7, 14, 71, 142, 497, 994

110 : 1, 2, 5, 10, 11, 22, 55, 110

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,714,994,110,672, is 2.

Now, the common factors can be found like this.

302:2x 151

714:2x 3x 7x 17

994:2x 7x 71

110:2x 5x 11

672:2x 2x 2x 2x 2x 3x 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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 15843586429440/(2x1176)

LCM = 15843586429440/2352

LCM = 6736218720

Thus, we can understand that the LCM of 302,714,994,110,672 is 6736218720.

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

• LCM of 942, 392, 856, 597, 691
• LCM of 832, 851, 152, 390, 209
• LCM of 752, 613, 317, 255, 828
• LCM of 340, 161, 260, 470, 528
• LCM of 113, 590, 541, 760, 586

1. What is the LCM of 302, 714, 994, 110, 672?

Answer: LCM of 302, 714, 994, 110, 672 is 6736218720.

2. How to calculate the LCM of 302, 714, 994, 110, 672?

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 302, 714, 994, 110, 672.

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}.