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LCM of 986, 274, 861, 574

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


Find the LCM of 986, 274, 861, 574 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 986, 274, 861, 574. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,274,861,574

Given numbers are 986,274,861,574

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

The LCM of 986,274,861,574 is 116305602.

Find LCM of 986,274,861,574 with Prime Factorization


2 986, 274, 861, 574
7 493, 137, 861, 287
41 493, 137, 123, 41
493, 137, 3, 1

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

2 x 7 x 41 x 493 x 137 x 3 x 1 = 116305602

Therefore, the lowest common multiple of 986,274,861,574 is 116305602.

LCM Formula to Find Lowest Common Multiple of 986,274,861,574

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.

986 x 274 x 861 x 574 = 133518831096

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

274 : 1, 2, 137, 274

861 : 1, 3, 7, 21, 41, 123, 287, 861

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,274,861,574, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

274:2x 137

861:3x 7x 41

574:2x 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.

2x 2x 7x 41 = 1148

Therefore, the value for common factors is 1148.

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 = 133518831096/(1x1148)

LCM = 133518831096/1148

LCM = 116305602

Thus, we can understand that the LCM of 986,274,861,574 is 116305602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 274, 861, 574

1. What is the LCM of 986, 274, 861, 574?

Answer: LCM of 986, 274, 861, 574 is 116305602.

2. How to calculate the LCM of 986, 274, 861, 574?

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 986, 274, 861, 574.

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}.