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LCM of 859, 984, 719, 732

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


Find the LCM of 859, 984, 719, 732 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 859, 984, 719, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,984,719,732

Given numbers are 859,984,719,732

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

The LCM of 859,984,719,732 is 37072082904.

Find LCM of 859,984,719,732 with Prime Factorization


2 859, 984, 719, 732
2 859, 492, 719, 366
3 859, 246, 719, 183
859, 82, 719, 61

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

2 x 2 x 3 x 859 x 82 x 719 x 61 = 37072082904

Therefore, the lowest common multiple of 859,984,719,732 is 37072082904.

LCM Formula to Find Lowest Common Multiple of 859,984,719,732

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.

859 x 984 x 719 x 732 = 444864994848

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.

859 : 1, 859

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

719 : 1, 719

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,984,719,732, is 1.

Now, the common factors can be found like this.

859:859

984:2x 2x 2x 3x 41

719:719

732:2x 2x 3x 61

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 = 444864994848/(1x12)

LCM = 444864994848/12

LCM = 37072082904

Thus, we can understand that the LCM of 859,984,719,732 is 37072082904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 984, 719, 732

1. What is the LCM of 859, 984, 719, 732?

Answer: LCM of 859, 984, 719, 732 is 37072082904.

2. How to calculate the LCM of 859, 984, 719, 732?

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 859, 984, 719, 732.

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}.