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LCM of 969, 734, 877, 652

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


Find the LCM of 969, 734, 877, 652 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 969, 734, 877, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,734,877,652

Given numbers are 969,734,877,652

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

The LCM of 969,734,877,652 is 203346653892.

Find LCM of 969,734,877,652 with Prime Factorization


2 969, 734, 877, 652
969, 367, 877, 326

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

2 x 969 x 367 x 877 x 326 = 203346653892

Therefore, the lowest common multiple of 969,734,877,652 is 203346653892.

LCM Formula to Find Lowest Common Multiple of 969,734,877,652

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.

969 x 734 x 877 x 652 = 406693307784

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

734 : 1, 2, 367, 734

877 : 1, 877

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,734,877,652, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

734:2x 367

877:877

652:2x 2x 163

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

2 = 2

Therefore, the value for common factors is 2.

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 = 406693307784/(1x2)

LCM = 406693307784/2

LCM = 203346653892

Thus, we can understand that the LCM of 969,734,877,652 is 203346653892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 734, 877, 652

1. What is the LCM of 969, 734, 877, 652?

Answer: LCM of 969, 734, 877, 652 is 203346653892.

2. How to calculate the LCM of 969, 734, 877, 652?

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 969, 734, 877, 652.

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}.