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LCM of 268, 907, 969, 907

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


Find the LCM of 268, 907, 969, 907 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, 907, 969, 907. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,907,969,907

Given numbers are 268,907,969,907

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

The LCM of 268,907,969,907 is 235540644.

Find LCM of 268,907,969,907 with Prime Factorization


907 268, 907, 969, 907
268, 1, 969, 1

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

907 x 268 x 1 x 969 x 1 = 235540644

Therefore, the lowest common multiple of 268,907,969,907 is 235540644.

LCM Formula to Find Lowest Common Multiple of 268,907,969,907

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 907 x 969 x 907 = 213635364108

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

907 : 1, 907

969 : 1, 3, 17, 19, 51, 57, 323, 969

907 : 1, 907

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,907,969,907, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

907:907

969:3x 17x 19

907:907

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

907 = 907

Therefore, the value for common factors is 907.

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 = 213635364108/(1x907)

LCM = 213635364108/907

LCM = 235540644

Thus, we can understand that the LCM of 268,907,969,907 is 235540644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 907, 969, 907

1. What is the LCM of 268, 907, 969, 907?

Answer: LCM of 268, 907, 969, 907 is 235540644.

2. How to calculate the LCM of 268, 907, 969, 907?

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, 907, 969, 907.

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}.