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LCM of 268, 767, 533, 807, 343

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


Find the LCM of 268, 767, 533, 807, 343 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, 767, 533, 807, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,767,533,807,343

Given numbers are 268,767,533,807,343

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

The LCM of 268,767,533,807,343 is 2332822360596.

Find LCM of 268,767,533,807,343 with Prime Factorization


13 268, 767, 533, 807, 343
268, 59, 41, 807, 343

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

13 x 268 x 59 x 41 x 807 x 343 = 2332822360596

Therefore, the lowest common multiple of 268,767,533,807,343 is 2332822360596.

LCM Formula to Find Lowest Common Multiple of 268,767,533,807,343

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 767 x 533 x 807 x 343 = 30326690687748

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

767 : 1, 13, 59, 767

533 : 1, 13, 41, 533

807 : 1, 3, 269, 807

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,767,533,807,343, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

767:13x 59

533:13x 41

807:3x 269

343:7x 7x 7

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

13 = 13

Therefore, the value for common factors is 13.

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 = 30326690687748/(1x13)

LCM = 30326690687748/13

LCM = 2332822360596

Thus, we can understand that the LCM of 268,767,533,807,343 is 2332822360596.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 767, 533, 807, 343

1. What is the LCM of 268, 767, 533, 807, 343?

Answer: LCM of 268, 767, 533, 807, 343 is 2332822360596.

2. How to calculate the LCM of 268, 767, 533, 807, 343?

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, 767, 533, 807, 343.

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}.