Given numbers are 761,114,209,287

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

The LCM of 761,114,209,287 is 273882378.

Find LCM of 761,114,209,287 with Prime Factorization

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

19 x 761 x 6 x 11 x 287 = 273882378

Therefore, the lowest common multiple of 761,114,209,287 is 273882378.

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.

761 x 114 x 209 x 287 = 5203765182

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.

761 : 1, 761

114 : 1, 2, 3, 6, 19, 38, 57, 114

209 : 1, 11, 19, 209

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,114,209,287, is 1.

Now, the common factors can be found like this.

761:761

114:2x 3x 19

209:11x 19

287:7x 41

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

19 = 19

Therefore, the value for common factors is 19.

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 = 5203765182/(1x19)

LCM = 5203765182/19

LCM = 273882378

Thus, we can understand that the LCM of 761,114,209,287 is 273882378.

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

• LCM of 962, 952, 362, 936
• LCM of 807, 638, 227, 705
• LCM of 805, 138, 969, 342
• LCM of 128, 965, 571, 541
• LCM of 209, 620, 257, 120

1. What is the LCM of 761, 114, 209, 287?

Answer: LCM of 761, 114, 209, 287 is 273882378.

2. How to calculate the LCM of 761, 114, 209, 287?

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 761, 114, 209, 287.

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}.