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LCM of 779, 994, 274, 846, 421

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


Find the LCM of 779, 994, 274, 846, 421 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 779, 994, 274, 846, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,994,274,846,421

Given numbers are 779,994,274,846,421

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

The LCM of 779,994,274,846,421 is 18891518696946.

Find LCM of 779,994,274,846,421 with Prime Factorization


2 779, 994, 274, 846, 421
779, 497, 137, 423, 421

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

2 x 779 x 497 x 137 x 423 x 421 = 18891518696946

Therefore, the lowest common multiple of 779,994,274,846,421 is 18891518696946.

LCM Formula to Find Lowest Common Multiple of 779,994,274,846,421

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.

779 x 994 x 274 x 846 x 421 = 75566074787784

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.

779 : 1, 19, 41, 779

994 : 1, 2, 7, 14, 71, 142, 497, 994

274 : 1, 2, 137, 274

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,994,274,846,421, is 1.

Now, the common factors can be found like this.

779:19x 41

994:2x 7x 71

274:2x 137

846:2x 3x 3x 47

421:421

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 = 75566074787784/(1x4)

LCM = 75566074787784/4

LCM = 18891518696946

Thus, we can understand that the LCM of 779,994,274,846,421 is 18891518696946.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 994, 274, 846, 421

1. What is the LCM of 779, 994, 274, 846, 421?

Answer: LCM of 779, 994, 274, 846, 421 is 18891518696946.

2. How to calculate the LCM of 779, 994, 274, 846, 421?

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 779, 994, 274, 846, 421.

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}.