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LCM of 292, 104, 856, 316, 744

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


Find the LCM of 292, 104, 856, 316, 744 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 292, 104, 856, 316, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,104,856,316,744

Given numbers are 292,104,856,316,744

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

The LCM of 292,104,856,316,744 is 5968291368.

Find LCM of 292,104,856,316,744 with Prime Factorization


2 292, 104, 856, 316, 744
2 146, 52, 428, 158, 372
2 73, 26, 214, 79, 186
73, 13, 107, 79, 93

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

2 x 2 x 2 x 73 x 13 x 107 x 79 x 93 = 5968291368

Therefore, the lowest common multiple of 292,104,856,316,744 is 5968291368.

LCM Formula to Find Lowest Common Multiple of 292,104,856,316,744

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.

292 x 104 x 856 x 316 x 744 = 6111530360832

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.

292 : 1, 2, 4, 73, 146, 292

104 : 1, 2, 4, 8, 13, 26, 52, 104

856 : 1, 2, 4, 8, 107, 214, 428, 856

316 : 1, 2, 4, 79, 158, 316

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,104,856,316,744, is 4.

Now, the common factors can be found like this.

292:2x 2x 73

104:2x 2x 2x 13

856:2x 2x 2x 107

316:2x 2x 79

744:2x 2x 2x 3x 31

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 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 6111530360832/(4x256)

LCM = 6111530360832/1024

LCM = 5968291368

Thus, we can understand that the LCM of 292,104,856,316,744 is 5968291368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 104, 856, 316, 744

1. What is the LCM of 292, 104, 856, 316, 744?

Answer: LCM of 292, 104, 856, 316, 744 is 5968291368.

2. How to calculate the LCM of 292, 104, 856, 316, 744?

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 292, 104, 856, 316, 744.

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}.