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LCM of 694, 309, 536, 721

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


Find the LCM of 694, 309, 536, 721 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 694, 309, 536, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,309,536,721

Given numbers are 694,309,536,721

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

The LCM of 694,309,536,721 is 402300696.

Find LCM of 694,309,536,721 with Prime Factorization


2 694, 309, 536, 721
103 347, 309, 268, 721
347, 3, 268, 7

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

2 x 103 x 347 x 3 x 268 x 7 = 402300696

Therefore, the lowest common multiple of 694,309,536,721 is 402300696.

LCM Formula to Find Lowest Common Multiple of 694,309,536,721

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.

694 x 309 x 536 x 721 = 82873943376

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.

694 : 1, 2, 347, 694

309 : 1, 3, 103, 309

536 : 1, 2, 4, 8, 67, 134, 268, 536

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,309,536,721, is 1.

Now, the common factors can be found like this.

694:2x 347

309:3x 103

536:2x 2x 2x 67

721:7x 103

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

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 82873943376/(1x206)

LCM = 82873943376/206

LCM = 402300696

Thus, we can understand that the LCM of 694,309,536,721 is 402300696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 309, 536, 721

1. What is the LCM of 694, 309, 536, 721?

Answer: LCM of 694, 309, 536, 721 is 402300696.

2. How to calculate the LCM of 694, 309, 536, 721?

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 694, 309, 536, 721.

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}.