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LCM of 896, 262, 292, 385, 474

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


Find the LCM of 896, 262, 292, 385, 474 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 896, 262, 292, 385, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,262,292,385,474

Given numbers are 896,262,292,385,474

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

The LCM of 896,262,292,385,474 is 111689719680.

Find LCM of 896,262,292,385,474 with Prime Factorization


2 896, 262, 292, 385, 474
2 448, 131, 146, 385, 237
7 224, 131, 73, 385, 237
32, 131, 73, 55, 237

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

2 x 2 x 7 x 32 x 131 x 73 x 55 x 237 = 111689719680

Therefore, the lowest common multiple of 896,262,292,385,474 is 111689719680.

LCM Formula to Find Lowest Common Multiple of 896,262,292,385,474

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.

896 x 262 x 292 x 385 x 474 = 12509248604160

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

262 : 1, 2, 131, 262

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,262,292,385,474, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

262:2x 131

292:2x 2x 73

385:5x 7x 11

474:2x 3x 79

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 7 = 112

Therefore, the value for common factors is 112.

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 = 12509248604160/(1x112)

LCM = 12509248604160/112

LCM = 111689719680

Thus, we can understand that the LCM of 896,262,292,385,474 is 111689719680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 262, 292, 385, 474

1. What is the LCM of 896, 262, 292, 385, 474?

Answer: LCM of 896, 262, 292, 385, 474 is 111689719680.

2. How to calculate the LCM of 896, 262, 292, 385, 474?

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 896, 262, 292, 385, 474.

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}.