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LCM of 278, 278, 266, 921

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


Find the LCM of 278, 278, 266, 921 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 278, 278, 266, 921. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,278,266,921

Given numbers are 278,278,266,921

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

The LCM of 278,278,266,921 is 34053054.

Find LCM of 278,278,266,921 with Prime Factorization


2 278, 278, 266, 921
139 139, 139, 133, 921
1, 1, 133, 921

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

2 x 139 x 1 x 1 x 133 x 921 = 34053054

Therefore, the lowest common multiple of 278,278,266,921 is 34053054.

LCM Formula to Find Lowest Common Multiple of 278,278,266,921

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.

278 x 278 x 266 x 921 = 18933498024

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.

278 : 1, 2, 139, 278

278 : 1, 2, 139, 278

266 : 1, 2, 7, 14, 19, 38, 133, 266

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,278,266,921, is 1.

Now, the common factors can be found like this.

278:2x 139

278:2x 139

266:2x 7x 19

921:3x 307

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 139 = 556

Therefore, the value for common factors is 556.

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 = 18933498024/(1x556)

LCM = 18933498024/556

LCM = 34053054

Thus, we can understand that the LCM of 278,278,266,921 is 34053054.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 278, 266, 921

1. What is the LCM of 278, 278, 266, 921?

Answer: LCM of 278, 278, 266, 921 is 34053054.

2. How to calculate the LCM of 278, 278, 266, 921?

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 278, 278, 266, 921.

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}.