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LCM of 278, 981, 529, 973

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


Find the LCM of 278, 981, 529, 973 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, 981, 529, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,981,529,973

Given numbers are 278,981,529,973

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

The LCM of 278,981,529,973 is 1009874754.

Find LCM of 278,981,529,973 with Prime Factorization


139 278, 981, 529, 973
2, 981, 529, 7

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

139 x 2 x 981 x 529 x 7 = 1009874754

Therefore, the lowest common multiple of 278,981,529,973 is 1009874754.

LCM Formula to Find Lowest Common Multiple of 278,981,529,973

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 981 x 529 x 973 = 140372590806

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

981 : 1, 3, 9, 109, 327, 981

529 : 1, 23, 529

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,981,529,973, is 1.

Now, the common factors can be found like this.

278:2x 139

981:3x 3x 109

529:23x 23

973:7x 139

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

139 = 139

Therefore, the value for common factors is 139.

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 = 140372590806/(1x139)

LCM = 140372590806/139

LCM = 1009874754

Thus, we can understand that the LCM of 278,981,529,973 is 1009874754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 981, 529, 973

1. What is the LCM of 278, 981, 529, 973?

Answer: LCM of 278, 981, 529, 973 is 1009874754.

2. How to calculate the LCM of 278, 981, 529, 973?

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, 981, 529, 973.

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}.