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LCM of 268, 151, 360, 536

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


Find the LCM of 268, 151, 360, 536 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, 151, 360, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,151,360,536

Given numbers are 268,151,360,536

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

The LCM of 268,151,360,536 is 3642120.

Find LCM of 268,151,360,536 with Prime Factorization


2 268, 151, 360, 536
2 134, 151, 180, 268
2 67, 151, 90, 134
67 67, 151, 45, 67
1, 151, 45, 1

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

2 x 2 x 2 x 67 x 1 x 151 x 45 x 1 = 3642120

Therefore, the lowest common multiple of 268,151,360,536 is 3642120.

LCM Formula to Find Lowest Common Multiple of 268,151,360,536

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 151 x 360 x 536 = 7808705280

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

151 : 1, 151

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,151,360,536, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

151:151

360:2x 2x 2x 3x 3x 5

536:2x 2x 2x 67

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

2x 2x 2x 2x 2x 67 = 2144

Therefore, the value for common factors is 2144.

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 = 7808705280/(1x2144)

LCM = 7808705280/2144

LCM = 3642120

Thus, we can understand that the LCM of 268,151,360,536 is 3642120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 151, 360, 536

1. What is the LCM of 268, 151, 360, 536?

Answer: LCM of 268, 151, 360, 536 is 3642120.

2. How to calculate the LCM of 268, 151, 360, 536?

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, 151, 360, 536.

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}.