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LCM of 292, 146, 197, 690, 426

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


Find the LCM of 292, 146, 197, 690, 426 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, 146, 197, 690, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,146,197,690,426

Given numbers are 292,146,197,690,426

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

The LCM of 292,146,197,690,426 is 1409050380.

Find LCM of 292,146,197,690,426 with Prime Factorization


2 292, 146, 197, 690, 426
3 146, 73, 197, 345, 213
73 146, 73, 197, 115, 71
2, 1, 197, 115, 71

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

2 x 3 x 73 x 2 x 1 x 197 x 115 x 71 = 1409050380

Therefore, the lowest common multiple of 292,146,197,690,426 is 1409050380.

LCM Formula to Find Lowest Common Multiple of 292,146,197,690,426

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 146 x 197 x 690 x 426 = 2468656265760

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

146 : 1, 2, 73, 146

197 : 1, 197

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,146,197,690,426, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

146:2x 73

197:197

690:2x 3x 5x 23

426:2x 3x 71

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 3x 73 = 1752

Therefore, the value for common factors is 1752.

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 = 2468656265760/(1x1752)

LCM = 2468656265760/1752

LCM = 1409050380

Thus, we can understand that the LCM of 292,146,197,690,426 is 1409050380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 146, 197, 690, 426

1. What is the LCM of 292, 146, 197, 690, 426?

Answer: LCM of 292, 146, 197, 690, 426 is 1409050380.

2. How to calculate the LCM of 292, 146, 197, 690, 426?

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, 146, 197, 690, 426.

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}.