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LCM of 257, 671, 746, 803

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 257, 671, 746, 803 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 257, 671, 746, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,671,746,803

Given numbers are 257,671,746,803

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

The LCM of 257,671,746,803 is 9391118726.

Find LCM of 257,671,746,803 with Prime Factorization


11 257, 671, 746, 803
257, 61, 746, 73

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

11 x 257 x 61 x 746 x 73 = 9391118726

Therefore, the lowest common multiple of 257,671,746,803 is 9391118726.

LCM Formula to Find Lowest Common Multiple of 257,671,746,803

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 671 x 746 x 803 = 103302305986

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

671 : 1, 11, 61, 671

746 : 1, 2, 373, 746

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,671,746,803, is 1.

Now, the common factors can be found like this.

257:257

671:11x 61

746:2x 373

803:11x 73

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

11 = 11

Therefore, the value for common factors is 11.

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 = 103302305986/(1x11)

LCM = 103302305986/11

LCM = 9391118726

Thus, we can understand that the LCM of 257,671,746,803 is 9391118726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 671, 746, 803

1. What is the LCM of 257, 671, 746, 803?

Answer: LCM of 257, 671, 746, 803 is 9391118726.

2. How to calculate the LCM of 257, 671, 746, 803?

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, 671, 746, 803.

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}.