Given numbers are 748,286,689,117,257

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

The LCM of 748,286,689,117,257 is 1192055436.

Find LCM of 748,286,689,117,257 with Prime Factorization

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

2 x 11 x 13 x 34 x 1 x 53 x 9 x 257 = 1192055436

Therefore, the lowest common multiple of 748,286,689,117,257 is 1192055436.

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.

748 x 286 x 689 x 117 x 257 = 4432062111048

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

286 : 1, 2, 11, 13, 22, 26, 143, 286

689 : 1, 13, 53, 689

117 : 1, 3, 9, 13, 39, 117

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,286,689,117,257, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

286:2x 11x 13

689:13x 53

117:3x 3x 13

257:257

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

2x 11x 13x 13 = 3718

Therefore, the value for common factors is 3718.

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 = 4432062111048/(1x3718)

LCM = 4432062111048/3718

LCM = 1192055436

Thus, we can understand that the LCM of 748,286,689,117,257 is 1192055436.

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

• LCM of 693, 591, 746, 977, 240
• LCM of 823, 863, 129, 819, 124
• LCM of 798, 305, 148, 535, 812
• LCM of 813, 469, 876, 520, 184
• LCM of 292, 292, 312, 746, 941

1. What is the LCM of 748, 286, 689, 117, 257?

Answer: LCM of 748, 286, 689, 117, 257 is 1192055436.

2. How to calculate the LCM of 748, 286, 689, 117, 257?

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 748, 286, 689, 117, 257.

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}.