Given numbers are 735,424,579,703,269

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

The LCM of 735,424,579,703,269 is 11374127957640.

Find LCM of 735,424,579,703,269 with Prime Factorization

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

3 x 245 x 424 x 193 x 703 x 269 = 11374127957640

Therefore, the lowest common multiple of 735,424,579,703,269 is 11374127957640.

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.

735 x 424 x 579 x 703 x 269 = 34122383872920

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.

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

579 : 1, 3, 193, 579

703 : 1, 19, 37, 703

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,424,579,703,269, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

424:2x 2x 2x 53

579:3x 193

703:19x 37

269:269

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

3 = 3

Therefore, the value for common factors is 3.

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 = 34122383872920/(1x3)

LCM = 34122383872920/3

LCM = 11374127957640

Thus, we can understand that the LCM of 735,424,579,703,269 is 11374127957640.

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

• LCM of 173, 591, 109, 906, 553
• LCM of 687, 746, 922, 178, 881
• LCM of 600, 332, 704, 773, 992
• LCM of 387, 946, 644, 194, 611
• LCM of 400, 892, 959, 297, 333

1. What is the LCM of 735, 424, 579, 703, 269?

Answer: LCM of 735, 424, 579, 703, 269 is 11374127957640.

2. How to calculate the LCM of 735, 424, 579, 703, 269?

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 735, 424, 579, 703, 269.

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}.