Given numbers are 760,235,403,975,715

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

The LCM of 760,235,403,975,715 is 2375201400.

Find LCM of 760,235,403,975,715 with Prime Factorization

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

5 x 13 x 152 x 47 x 31 x 15 x 11 = 2375201400

Therefore, the lowest common multiple of 760,235,403,975,715 is 2375201400.

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.

760 x 235 x 403 x 975 x 715 = 50176129575000

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

235 : 1, 5, 47, 235

403 : 1, 13, 31, 403

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,235,403,975,715, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

235:5x 47

403:13x 31

975:3x 5x 5x 13

715:5x 11x 13

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

5x 5x 5x 13x 13 = 21125

Therefore, the value for common factors is 21125.

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 = 50176129575000/(1x21125)

LCM = 50176129575000/21125

LCM = 2375201400

Thus, we can understand that the LCM of 760,235,403,975,715 is 2375201400.

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

• LCM of 982, 384, 996, 760, 236
• LCM of 312, 948, 937, 433, 150
• LCM of 124, 354, 174, 983, 465
• LCM of 965, 285, 149, 934, 394
• LCM of 261, 289, 967, 829, 705

1. What is the LCM of 760, 235, 403, 975, 715?

Answer: LCM of 760, 235, 403, 975, 715 is 2375201400.

2. How to calculate the LCM of 760, 235, 403, 975, 715?

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 760, 235, 403, 975, 715.

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}.