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LCM of 742, 456, 284, 152, 989

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


Find the LCM of 742, 456, 284, 152, 989 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 742, 456, 284, 152, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,456,284,152,989

Given numbers are 742,456,284,152,989

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

The LCM of 742,456,284,152,989 is 11879369544.

Find LCM of 742,456,284,152,989 with Prime Factorization


2 742, 456, 284, 152, 989
2 371, 228, 142, 76, 989
2 371, 114, 71, 38, 989
19 371, 57, 71, 19, 989
371, 3, 71, 1, 989

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

2 x 2 x 2 x 19 x 371 x 3 x 71 x 1 x 989 = 11879369544

Therefore, the lowest common multiple of 742,456,284,152,989 is 11879369544.

LCM Formula to Find Lowest Common Multiple of 742,456,284,152,989

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.

742 x 456 x 284 x 152 x 989 = 14445313365504

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

284 : 1, 2, 4, 71, 142, 284

152 : 1, 2, 4, 8, 19, 38, 76, 152

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,456,284,152,989, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

456:2x 2x 2x 3x 19

284:2x 2x 71

152:2x 2x 2x 19

989:23x 43

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 19 = 1216

Therefore, the value for common factors is 1216.

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 = 14445313365504/(1x1216)

LCM = 14445313365504/1216

LCM = 11879369544

Thus, we can understand that the LCM of 742,456,284,152,989 is 11879369544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 456, 284, 152, 989

1. What is the LCM of 742, 456, 284, 152, 989?

Answer: LCM of 742, 456, 284, 152, 989 is 11879369544.

2. How to calculate the LCM of 742, 456, 284, 152, 989?

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 742, 456, 284, 152, 989.

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}.