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LCM of 769, 354, 778, 737, 224

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


Find the LCM of 769, 354, 778, 737, 224 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 769, 354, 778, 737, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,354,778,737,224

Given numbers are 769,354,778,737,224

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

The LCM of 769,354,778,737,224 is 8741072325216.

Find LCM of 769,354,778,737,224 with Prime Factorization


2 769, 354, 778, 737, 224
769, 177, 389, 737, 112

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

2 x 769 x 177 x 389 x 737 x 112 = 8741072325216

Therefore, the lowest common multiple of 769,354,778,737,224 is 8741072325216.

LCM Formula to Find Lowest Common Multiple of 769,354,778,737,224

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.

769 x 354 x 778 x 737 x 224 = 34964289300864

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.

769 : 1, 769

354 : 1, 2, 3, 6, 59, 118, 177, 354

778 : 1, 2, 389, 778

737 : 1, 11, 67, 737

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,354,778,737,224, is 1.

Now, the common factors can be found like this.

769:769

354:2x 3x 59

778:2x 389

737:11x 67

224:2x 2x 2x 2x 2x 7

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 = 34964289300864/(1x4)

LCM = 34964289300864/4

LCM = 8741072325216

Thus, we can understand that the LCM of 769,354,778,737,224 is 8741072325216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 354, 778, 737, 224

1. What is the LCM of 769, 354, 778, 737, 224?

Answer: LCM of 769, 354, 778, 737, 224 is 8741072325216.

2. How to calculate the LCM of 769, 354, 778, 737, 224?

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 769, 354, 778, 737, 224.

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}.