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LCM of 224, 841, 851, 774

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


Find the LCM of 224, 841, 851, 774 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 224, 841, 851, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,841,851,774

Given numbers are 224,841,851,774

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

The LCM of 224,841,851,774 is 62041821408.

Find LCM of 224,841,851,774 with Prime Factorization


2 224, 841, 851, 774
112, 841, 851, 387

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

2 x 112 x 841 x 851 x 387 = 62041821408

Therefore, the lowest common multiple of 224,841,851,774 is 62041821408.

LCM Formula to Find Lowest Common Multiple of 224,841,851,774

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.

224 x 841 x 851 x 774 = 124083642816

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.

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

841 : 1, 29, 841

851 : 1, 23, 37, 851

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,841,851,774, is 1.

Now, the common factors can be found like this.

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

841:29x 29

851:23x 37

774:2x 3x 3x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 124083642816/(1x2)

LCM = 124083642816/2

LCM = 62041821408

Thus, we can understand that the LCM of 224,841,851,774 is 62041821408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 841, 851, 774

1. What is the LCM of 224, 841, 851, 774?

Answer: LCM of 224, 841, 851, 774 is 62041821408.

2. How to calculate the LCM of 224, 841, 851, 774?

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 224, 841, 851, 774.

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}.