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LCM of 946, 474, 584, 897, 598

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


Find the LCM of 946, 474, 584, 897, 598 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 946, 474, 584, 897, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,474,584,897,598

Given numbers are 946,474,584,897,598

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

The LCM of 946,474,584,897,598 is 19574628216.

Find LCM of 946,474,584,897,598 with Prime Factorization


2 946, 474, 584, 897, 598
3 473, 237, 292, 897, 299
13 473, 79, 292, 299, 299
23 473, 79, 292, 23, 23
473, 79, 292, 1, 1

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

2 x 3 x 13 x 23 x 473 x 79 x 292 x 1 x 1 = 19574628216

Therefore, the lowest common multiple of 946,474,584,897,598 is 19574628216.

LCM Formula to Find Lowest Common Multiple of 946,474,584,897,598

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.

946 x 474 x 584 x 897 x 598 = 140467532078016

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

474 : 1, 2, 3, 6, 79, 158, 237, 474

584 : 1, 2, 4, 8, 73, 146, 292, 584

897 : 1, 3, 13, 23, 39, 69, 299, 897

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,474,584,897,598, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

474:2x 3x 79

584:2x 2x 2x 73

897:3x 13x 23

598:2x 13x 23

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

2x 2x 2x 3x 13x 23 = 7176

Therefore, the value for common factors is 7176.

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 = 140467532078016/(1x7176)

LCM = 140467532078016/7176

LCM = 19574628216

Thus, we can understand that the LCM of 946,474,584,897,598 is 19574628216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 474, 584, 897, 598

1. What is the LCM of 946, 474, 584, 897, 598?

Answer: LCM of 946, 474, 584, 897, 598 is 19574628216.

2. How to calculate the LCM of 946, 474, 584, 897, 598?

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 946, 474, 584, 897, 598.

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}.