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LCM of 890, 724, 458, 611, 548

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


Find the LCM of 890, 724, 458, 611, 548 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 890, 724, 458, 611, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,724,458,611,548

Given numbers are 890,724,458,611,548

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

The LCM of 890,724,458,611,548 is 6175837168540.

Find LCM of 890,724,458,611,548 with Prime Factorization


2 890, 724, 458, 611, 548
2 445, 362, 229, 611, 274
445, 181, 229, 611, 137

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

2 x 2 x 445 x 181 x 229 x 611 x 137 = 6175837168540

Therefore, the lowest common multiple of 890,724,458,611,548 is 6175837168540.

LCM Formula to Find Lowest Common Multiple of 890,724,458,611,548

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.

890 x 724 x 458 x 611 x 548 = 98813394696640

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

724 : 1, 2, 4, 181, 362, 724

458 : 1, 2, 229, 458

611 : 1, 13, 47, 611

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,724,458,611,548, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

724:2x 2x 181

458:2x 229

611:13x 47

548:2x 2x 137

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 2 = 16

Therefore, the value for common factors is 16.

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 = 98813394696640/(1x16)

LCM = 98813394696640/16

LCM = 6175837168540

Thus, we can understand that the LCM of 890,724,458,611,548 is 6175837168540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 724, 458, 611, 548

1. What is the LCM of 890, 724, 458, 611, 548?

Answer: LCM of 890, 724, 458, 611, 548 is 6175837168540.

2. How to calculate the LCM of 890, 724, 458, 611, 548?

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 890, 724, 458, 611, 548.

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}.