Given numbers are 245,409,145,350,728

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

The LCM of 245,409,145,350,728 is 1511091400.

Find LCM of 245,409,145,350,728 with Prime Factorization

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

2 x 5 x 7 x 7 x 409 x 29 x 5 x 52 = 1511091400

Therefore, the lowest common multiple of 245,409,145,350,728 is 1511091400.

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.

245 x 409 x 145 x 350 x 728 = 3702173930000

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.

245 : 1, 5, 7, 35, 49, 245

409 : 1, 409

145 : 1, 5, 29, 145

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,409,145,350,728, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

409:409

145:5x 29

350:2x 5x 5x 7

728:2x 2x 2x 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.

2x 5x 5x 7x 7 = 2450

Therefore, the value for common factors is 2450.

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 = 3702173930000/(1x2450)

LCM = 3702173930000/2450

LCM = 1511091400

Thus, we can understand that the LCM of 245,409,145,350,728 is 1511091400.

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

• LCM of 596, 724, 715, 917, 179
• LCM of 276, 809, 326, 576, 203
• LCM of 956, 187, 465, 578, 869
• LCM of 423, 152, 631, 844, 680
• LCM of 423, 800, 644, 719, 945

1. What is the LCM of 245, 409, 145, 350, 728?

Answer: LCM of 245, 409, 145, 350, 728 is 1511091400.

2. How to calculate the LCM of 245, 409, 145, 350, 728?

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 245, 409, 145, 350, 728.

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}.