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LCM of 526, 955, 705, 304, 987

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


Find the LCM of 526, 955, 705, 304, 987 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 526, 955, 705, 304, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,955,705,304,987

Given numbers are 526,955,705,304,987

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

The LCM of 526,955,705,304,987 is 75361555920.

Find LCM of 526,955,705,304,987 with Prime Factorization


2 526, 955, 705, 304, 987
3 263, 955, 705, 152, 987
5 263, 955, 235, 152, 329
47 263, 191, 47, 152, 329
263, 191, 1, 152, 7

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

2 x 3 x 5 x 47 x 263 x 191 x 1 x 152 x 7 = 75361555920

Therefore, the lowest common multiple of 526,955,705,304,987 is 75361555920.

LCM Formula to Find Lowest Common Multiple of 526,955,705,304,987

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.

526 x 955 x 705 x 304 x 987 = 106259793847200

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.

526 : 1, 2, 263, 526

955 : 1, 5, 191, 955

705 : 1, 3, 5, 15, 47, 141, 235, 705

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,955,705,304,987, is 1.

Now, the common factors can be found like this.

526:2x 263

955:5x 191

705:3x 5x 47

304:2x 2x 2x 2x 19

987:3x 7x 47

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

2x 3x 5x 47 = 1410

Therefore, the value for common factors is 1410.

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 = 106259793847200/(1x1410)

LCM = 106259793847200/1410

LCM = 75361555920

Thus, we can understand that the LCM of 526,955,705,304,987 is 75361555920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 955, 705, 304, 987

1. What is the LCM of 526, 955, 705, 304, 987?

Answer: LCM of 526, 955, 705, 304, 987 is 75361555920.

2. How to calculate the LCM of 526, 955, 705, 304, 987?

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 526, 955, 705, 304, 987.

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}.