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LCM of 278, 961, 478, 478

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


Find the LCM of 278, 961, 478, 478 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, 961, 478, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,961,478,478

Given numbers are 278,961,478,478

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

The LCM of 278,961,478,478 is 63850762.

Find LCM of 278,961,478,478 with Prime Factorization


2 278, 961, 478, 478
239 139, 961, 239, 239
139, 961, 1, 1

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

2 x 239 x 139 x 961 x 1 x 1 = 63850762

Therefore, the lowest common multiple of 278,961,478,478 is 63850762.

LCM Formula to Find Lowest Common Multiple of 278,961,478,478

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 961 x 478 x 478 = 61041328472

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

961 : 1, 31, 961

478 : 1, 2, 239, 478

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,961,478,478, is 1.

Now, the common factors can be found like this.

278:2x 139

961:31x 31

478:2x 239

478:2x 239

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 239 = 956

Therefore, the value for common factors is 956.

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 = 61041328472/(1x956)

LCM = 61041328472/956

LCM = 63850762

Thus, we can understand that the LCM of 278,961,478,478 is 63850762.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 961, 478, 478

1. What is the LCM of 278, 961, 478, 478?

Answer: LCM of 278, 961, 478, 478 is 63850762.

2. How to calculate the LCM of 278, 961, 478, 478?

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, 961, 478, 478.

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}.