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LCM of 278, 734, 658, 277

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


Find the LCM of 278, 734, 658, 277 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, 734, 658, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,734,658,277

Given numbers are 278,734,658,277

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

The LCM of 278,734,658,277 is 9297935458.

Find LCM of 278,734,658,277 with Prime Factorization


2 278, 734, 658, 277
139, 367, 329, 277

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

2 x 139 x 367 x 329 x 277 = 9297935458

Therefore, the lowest common multiple of 278,734,658,277 is 9297935458.

LCM Formula to Find Lowest Common Multiple of 278,734,658,277

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 734 x 658 x 277 = 37191741832

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

734 : 1, 2, 367, 734

658 : 1, 2, 7, 14, 47, 94, 329, 658

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,734,658,277, is 1.

Now, the common factors can be found like this.

278:2x 139

734:2x 367

658:2x 7x 47

277:277

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37191741832/(1x4)

LCM = 37191741832/4

LCM = 9297935458

Thus, we can understand that the LCM of 278,734,658,277 is 9297935458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 734, 658, 277

1. What is the LCM of 278, 734, 658, 277?

Answer: LCM of 278, 734, 658, 277 is 9297935458.

2. How to calculate the LCM of 278, 734, 658, 277?

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, 734, 658, 277.

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}.