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LCM of 274, 856, 278, 498

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


Find the LCM of 274, 856, 278, 498 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 274, 856, 278, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,856,278,498

Given numbers are 274,856,278,498

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

The LCM of 274,856,278,498 is 4058901192.

Find LCM of 274,856,278,498 with Prime Factorization


2 274, 856, 278, 498
137, 428, 139, 249

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

2 x 137 x 428 x 139 x 249 = 4058901192

Therefore, the lowest common multiple of 274,856,278,498 is 4058901192.

LCM Formula to Find Lowest Common Multiple of 274,856,278,498

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.

274 x 856 x 278 x 498 = 32471209536

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.

274 : 1, 2, 137, 274

856 : 1, 2, 4, 8, 107, 214, 428, 856

278 : 1, 2, 139, 278

498 : 1, 2, 3, 6, 83, 166, 249, 498

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,856,278,498, is 2.

Now, the common factors can be found like this.

274:2x 137

856:2x 2x 2x 107

278:2x 139

498:2x 3x 83

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 = 32471209536/(2x4)

LCM = 32471209536/8

LCM = 4058901192

Thus, we can understand that the LCM of 274,856,278,498 is 4058901192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 856, 278, 498

1. What is the LCM of 274, 856, 278, 498?

Answer: LCM of 274, 856, 278, 498 is 4058901192.

2. How to calculate the LCM of 274, 856, 278, 498?

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 274, 856, 278, 498.

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}.