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LCM of 959, 551, 233, 932, 783

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


Find the LCM of 959, 551, 233, 932, 783 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 959, 551, 233, 932, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 959,551,233,932,783

Given numbers are 959,551,233,932,783

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

The LCM of 959,551,233,932,783 is 13296884076.

Find LCM of 959,551,233,932,783 with Prime Factorization


29 959, 551, 233, 932, 783
233 959, 19, 233, 932, 27
959, 19, 1, 4, 27

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

29 x 233 x 959 x 19 x 1 x 4 x 27 = 13296884076

Therefore, the lowest common multiple of 959,551,233,932,783 is 13296884076.

LCM Formula to Find Lowest Common Multiple of 959,551,233,932,783

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.

959 x 551 x 233 x 932 x 783 = 89847045701532

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.

959 : 1, 7, 137, 959

551 : 1, 19, 29, 551

233 : 1, 233

932 : 1, 2, 4, 233, 466, 932

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,551,233,932,783, is 1.

Now, the common factors can be found like this.

959:7x 137

551:19x 29

233:233

932:2x 2x 233

783:3x 3x 3x 29

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

29x 233 = 6757

Therefore, the value for common factors is 6757.

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 = 89847045701532/(1x6757)

LCM = 89847045701532/6757

LCM = 13296884076

Thus, we can understand that the LCM of 959,551,233,932,783 is 13296884076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 959, 551, 233, 932, 783

1. What is the LCM of 959, 551, 233, 932, 783?

Answer: LCM of 959, 551, 233, 932, 783 is 13296884076.

2. How to calculate the LCM of 959, 551, 233, 932, 783?

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 959, 551, 233, 932, 783.

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}.