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LCM of 776, 894, 168, 282

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


Find the LCM of 776, 894, 168, 282 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 776, 894, 168, 282. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,894,168,282

Given numbers are 776,894,168,282

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

The LCM of 776,894,168,282 is 114120888.

Find LCM of 776,894,168,282 with Prime Factorization


2 776, 894, 168, 282
2 388, 447, 84, 141
2 194, 447, 42, 141
3 97, 447, 21, 141
97, 149, 7, 47

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

2 x 2 x 2 x 3 x 97 x 149 x 7 x 47 = 114120888

Therefore, the lowest common multiple of 776,894,168,282 is 114120888.

LCM Formula to Find Lowest Common Multiple of 776,894,168,282

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.

776 x 894 x 168 x 282 = 32866815744

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

894 : 1, 2, 3, 6, 149, 298, 447, 894

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

282 : 1, 2, 3, 6, 47, 94, 141, 282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,894,168,282, is 2.

Now, the common factors can be found like this.

776:2x 2x 2x 97

894:2x 3x 149

168:2x 2x 2x 3x 7

282:2x 3x 47

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 32866815744/(2x144)

LCM = 32866815744/288

LCM = 114120888

Thus, we can understand that the LCM of 776,894,168,282 is 114120888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 894, 168, 282

1. What is the LCM of 776, 894, 168, 282?

Answer: LCM of 776, 894, 168, 282 is 114120888.

2. How to calculate the LCM of 776, 894, 168, 282?

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 776, 894, 168, 282.

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}.