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LCM of 268, 749, 201, 739, 607

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


Find the LCM of 268, 749, 201, 739, 607 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 268, 749, 201, 739, 607. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,749,201,739,607

Given numbers are 268,749,201,739,607

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

The LCM of 268,749,201,739,607 is 270128866308.

Find LCM of 268,749,201,739,607 with Prime Factorization


67 268, 749, 201, 739, 607
4, 749, 3, 739, 607

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

67 x 4 x 749 x 3 x 739 x 607 = 270128866308

Therefore, the lowest common multiple of 268,749,201,739,607 is 270128866308.

LCM Formula to Find Lowest Common Multiple of 268,749,201,739,607

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.

268 x 749 x 201 x 739 x 607 = 18098634042636

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.

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

749 : 1, 7, 107, 749

201 : 1, 3, 67, 201

739 : 1, 739

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,749,201,739,607, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

749:7x 107

201:3x 67

739:739

607:607

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

67 = 67

Therefore, the value for common factors is 67.

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 = 18098634042636/(1x67)

LCM = 18098634042636/67

LCM = 270128866308

Thus, we can understand that the LCM of 268,749,201,739,607 is 270128866308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 749, 201, 739, 607

1. What is the LCM of 268, 749, 201, 739, 607?

Answer: LCM of 268, 749, 201, 739, 607 is 270128866308.

2. How to calculate the LCM of 268, 749, 201, 739, 607?

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 268, 749, 201, 739, 607.

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}.