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LCM of 982, 386, 902, 533

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


Find the LCM of 982, 386, 902, 533 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 982, 386, 902, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,386,902,533

Given numbers are 982,386,902,533

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

The LCM of 982,386,902,533 is 1111190938.

Find LCM of 982,386,902,533 with Prime Factorization


2 982, 386, 902, 533
41 491, 193, 451, 533
491, 193, 11, 13

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

2 x 41 x 491 x 193 x 11 x 13 = 1111190938

Therefore, the lowest common multiple of 982,386,902,533 is 1111190938.

LCM Formula to Find Lowest Common Multiple of 982,386,902,533

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.

982 x 386 x 902 x 533 = 182235313832

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.

982 : 1, 2, 491, 982

386 : 1, 2, 193, 386

902 : 1, 2, 11, 22, 41, 82, 451, 902

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,386,902,533, is 1.

Now, the common factors can be found like this.

982:2x 491

386:2x 193

902:2x 11x 41

533:13x 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 41 = 164

Therefore, the value for common factors is 164.

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 = 182235313832/(1x164)

LCM = 182235313832/164

LCM = 1111190938

Thus, we can understand that the LCM of 982,386,902,533 is 1111190938.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 386, 902, 533

1. What is the LCM of 982, 386, 902, 533?

Answer: LCM of 982, 386, 902, 533 is 1111190938.

2. How to calculate the LCM of 982, 386, 902, 533?

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 982, 386, 902, 533.

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}.