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LCM of 716, 554, 871, 362

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


Find the LCM of 716, 554, 871, 362 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 716, 554, 871, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,554,871,362

Given numbers are 716,554,871,362

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

The LCM of 716,554,871,362 is 31267238132.

Find LCM of 716,554,871,362 with Prime Factorization


2 716, 554, 871, 362
358, 277, 871, 181

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

2 x 358 x 277 x 871 x 181 = 31267238132

Therefore, the lowest common multiple of 716,554,871,362 is 31267238132.

LCM Formula to Find Lowest Common Multiple of 716,554,871,362

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.

716 x 554 x 871 x 362 = 125068952528

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.

716 : 1, 2, 4, 179, 358, 716

554 : 1, 2, 277, 554

871 : 1, 13, 67, 871

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,554,871,362, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

554:2x 277

871:13x 67

362:2x 181

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 125068952528/(1x4)

LCM = 125068952528/4

LCM = 31267238132

Thus, we can understand that the LCM of 716,554,871,362 is 31267238132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 554, 871, 362

1. What is the LCM of 716, 554, 871, 362?

Answer: LCM of 716, 554, 871, 362 is 31267238132.

2. How to calculate the LCM of 716, 554, 871, 362?

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 716, 554, 871, 362.

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}.