Given numbers are 753,735,672,293,273

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

The LCM of 753,735,672,293,273 is 22486507680.

Find LCM of 753,735,672,293,273 with Prime Factorization

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

3 x 7 x 251 x 35 x 32 x 293 x 13 = 22486507680

Therefore, the lowest common multiple of 753,735,672,293,273 is 22486507680.

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.

753 x 735 x 672 x 293 x 273 = 29749649660640

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.

753 : 1, 3, 251, 753

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

293 : 1, 293

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,735,672,293,273, is 1.

Now, the common factors can be found like this.

753:3x 251

735:3x 5x 7x 7

672:2x 2x 2x 2x 2x 3x 7

293:293

273:3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 7x 7 = 1323

Therefore, the value for common factors is 1323.

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 = 29749649660640/(1x1323)

LCM = 29749649660640/1323

LCM = 22486507680

Thus, we can understand that the LCM of 753,735,672,293,273 is 22486507680.

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

• LCM of 977, 312, 506, 931, 909
• LCM of 762, 761, 730, 371, 254
• LCM of 220, 380, 914, 590, 100
• LCM of 654, 918, 687, 425, 755
• LCM of 687, 171, 472, 344, 306

1. What is the LCM of 753, 735, 672, 293, 273?

Answer: LCM of 753, 735, 672, 293, 273 is 22486507680.

2. How to calculate the LCM of 753, 735, 672, 293, 273?

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 753, 735, 672, 293, 273.

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}.