Given numbers are 257,692,746,114

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

The LCM of 257,692,746,114 is 3781141284.

Find LCM of 257,692,746,114 with Prime Factorization

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

2 x 257 x 346 x 373 x 57 = 3781141284

Therefore, the lowest common multiple of 257,692,746,114 is 3781141284.

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.

257 x 692 x 746 x 114 = 15124565136

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.

257 : 1, 257

692 : 1, 2, 4, 173, 346, 692

746 : 1, 2, 373, 746

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,692,746,114, is 1.

Now, the common factors can be found like this.

257:257

692:2x 2x 173

746:2x 373

114:2x 3x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15124565136/(1x4)

LCM = 15124565136/4

LCM = 3781141284

Thus, we can understand that the LCM of 257,692,746,114 is 3781141284.

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

• LCM of 292, 184, 562, 660
• LCM of 191, 721, 763, 220
• LCM of 793, 985, 681, 134
• LCM of 380, 996, 702, 846
• LCM of 591, 582, 545, 670

1. What is the LCM of 257, 692, 746, 114?

Answer: LCM of 257, 692, 746, 114 is 3781141284.

2. How to calculate the LCM of 257, 692, 746, 114?

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 257, 692, 746, 114.

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}.