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LCM of 688, 716, 303, 547

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


Find the LCM of 688, 716, 303, 547 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 688, 716, 303, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,716,303,547

Given numbers are 688,716,303,547

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

The LCM of 688,716,303,547 is 20411335632.

Find LCM of 688,716,303,547 with Prime Factorization


2 688, 716, 303, 547
2 344, 358, 303, 547
172, 179, 303, 547

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

2 x 2 x 172 x 179 x 303 x 547 = 20411335632

Therefore, the lowest common multiple of 688,716,303,547 is 20411335632.

LCM Formula to Find Lowest Common Multiple of 688,716,303,547

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.

688 x 716 x 303 x 547 = 81645342528

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

303 : 1, 3, 101, 303

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,716,303,547, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

716:2x 2x 179

303:3x 101

547:547

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 = 81645342528/(1x4)

LCM = 81645342528/4

LCM = 20411335632

Thus, we can understand that the LCM of 688,716,303,547 is 20411335632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 716, 303, 547

1. What is the LCM of 688, 716, 303, 547?

Answer: LCM of 688, 716, 303, 547 is 20411335632.

2. How to calculate the LCM of 688, 716, 303, 547?

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 688, 716, 303, 547.

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}.