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LCM of 243, 673, 344, 268, 987

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


Find the LCM of 243, 673, 344, 268, 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 243, 673, 344, 268, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,673,344,268,987

Given numbers are 243,673,344,268,987

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

The LCM of 243,673,344,268,987 is 1240082220888.

Find LCM of 243,673,344,268,987 with Prime Factorization


2 243, 673, 344, 268, 987
2 243, 673, 172, 134, 987
3 243, 673, 86, 67, 987
81, 673, 86, 67, 329

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

2 x 2 x 3 x 81 x 673 x 86 x 67 x 329 = 1240082220888

Therefore, the lowest common multiple of 243,673,344,268,987 is 1240082220888.

LCM Formula to Find Lowest Common Multiple of 243,673,344,268,987

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.

243 x 673 x 344 x 268 x 987 = 14880986650656

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.

243 : 1, 3, 9, 27, 81, 243

673 : 1, 673

344 : 1, 2, 4, 8, 43, 86, 172, 344

268 : 1, 2, 4, 67, 134, 268

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 243,673,344,268,987, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

673:673

344:2x 2x 2x 43

268:2x 2x 67

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 14880986650656/(1x12)

LCM = 14880986650656/12

LCM = 1240082220888

Thus, we can understand that the LCM of 243,673,344,268,987 is 1240082220888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 673, 344, 268, 987

1. What is the LCM of 243, 673, 344, 268, 987?

Answer: LCM of 243, 673, 344, 268, 987 is 1240082220888.

2. How to calculate the LCM of 243, 673, 344, 268, 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 243, 673, 344, 268, 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}.