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LCM of 721, 749, 207, 279

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


Find the LCM of 721, 749, 207, 279 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 721, 749, 207, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,749,207,279

Given numbers are 721,749,207,279

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

The LCM of 721,749,207,279 is 495052299.

Find LCM of 721,749,207,279 with Prime Factorization


3 721, 749, 207, 279
3 721, 749, 69, 93
7 721, 749, 23, 31
103, 107, 23, 31

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

3 x 3 x 7 x 103 x 107 x 23 x 31 = 495052299

Therefore, the lowest common multiple of 721,749,207,279 is 495052299.

LCM Formula to Find Lowest Common Multiple of 721,749,207,279

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.

721 x 749 x 207 x 279 = 31188294837

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.

721 : 1, 7, 103, 721

749 : 1, 7, 107, 749

207 : 1, 3, 9, 23, 69, 207

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,749,207,279, is 1.

Now, the common factors can be found like this.

721:7x 103

749:7x 107

207:3x 3x 23

279:3x 3x 31

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

3x 3x 7 = 63

Therefore, the value for common factors is 63.

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 = 31188294837/(1x63)

LCM = 31188294837/63

LCM = 495052299

Thus, we can understand that the LCM of 721,749,207,279 is 495052299.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 749, 207, 279

1. What is the LCM of 721, 749, 207, 279?

Answer: LCM of 721, 749, 207, 279 is 495052299.

2. How to calculate the LCM of 721, 749, 207, 279?

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 721, 749, 207, 279.

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}.