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LCM of 278, 314, 551, 677

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


Find the LCM of 278, 314, 551, 677 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, 314, 551, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,314,551,677

Given numbers are 278,314,551,677

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

The LCM of 278,314,551,677 is 16281136442.

Find LCM of 278,314,551,677 with Prime Factorization


2 278, 314, 551, 677
139, 157, 551, 677

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

2 x 139 x 157 x 551 x 677 = 16281136442

Therefore, the lowest common multiple of 278,314,551,677 is 16281136442.

LCM Formula to Find Lowest Common Multiple of 278,314,551,677

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 314 x 551 x 677 = 32562272884

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

314 : 1, 2, 157, 314

551 : 1, 19, 29, 551

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,314,551,677, is 1.

Now, the common factors can be found like this.

278:2x 139

314:2x 157

551:19x 29

677:677

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

2 = 2

Therefore, the value for common factors is 2.

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 = 32562272884/(1x2)

LCM = 32562272884/2

LCM = 16281136442

Thus, we can understand that the LCM of 278,314,551,677 is 16281136442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 314, 551, 677

1. What is the LCM of 278, 314, 551, 677?

Answer: LCM of 278, 314, 551, 677 is 16281136442.

2. How to calculate the LCM of 278, 314, 551, 677?

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, 314, 551, 677.

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}.