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LCM of 982, 949, 290, 145

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


Find the LCM of 982, 949, 290, 145 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, 949, 290, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,949,290,145

Given numbers are 982,949,290,145

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

The LCM of 982,949,290,145 is 135128110.

Find LCM of 982,949,290,145 with Prime Factorization


2 982, 949, 290, 145
5 491, 949, 145, 145
29 491, 949, 29, 29
491, 949, 1, 1

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

2 x 5 x 29 x 491 x 949 x 1 x 1 = 135128110

Therefore, the lowest common multiple of 982,949,290,145 is 135128110.

LCM Formula to Find Lowest Common Multiple of 982,949,290,145

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 949 x 290 x 145 = 39187151900

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

949 : 1, 13, 73, 949

290 : 1, 2, 5, 10, 29, 58, 145, 290

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,949,290,145, is 1.

Now, the common factors can be found like this.

982:2x 491

949:13x 73

290:2x 5x 29

145:5x 29

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

2x 5x 29 = 290

Therefore, the value for common factors is 290.

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 = 39187151900/(1x290)

LCM = 39187151900/290

LCM = 135128110

Thus, we can understand that the LCM of 982,949,290,145 is 135128110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 949, 290, 145

1. What is the LCM of 982, 949, 290, 145?

Answer: LCM of 982, 949, 290, 145 is 135128110.

2. How to calculate the LCM of 982, 949, 290, 145?

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, 949, 290, 145.

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}.