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LCM of 547, 458, 546, 978

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


Find the LCM of 547, 458, 546, 978 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 547, 458, 546, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,458,546,978

Given numbers are 547,458,546,978

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

The LCM of 547,458,546,978 is 11148156474.

Find LCM of 547,458,546,978 with Prime Factorization


2 547, 458, 546, 978
3 547, 229, 273, 489
547, 229, 91, 163

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

2 x 3 x 547 x 229 x 91 x 163 = 11148156474

Therefore, the lowest common multiple of 547,458,546,978 is 11148156474.

LCM Formula to Find Lowest Common Multiple of 547,458,546,978

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.

547 x 458 x 546 x 978 = 133777877688

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.

547 : 1, 547

458 : 1, 2, 229, 458

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,458,546,978, is 1.

Now, the common factors can be found like this.

547:547

458:2x 229

546:2x 3x 7x 13

978:2x 3x 163

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 3 = 12

Therefore, the value for common factors is 12.

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 = 133777877688/(1x12)

LCM = 133777877688/12

LCM = 11148156474

Thus, we can understand that the LCM of 547,458,546,978 is 11148156474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 458, 546, 978

1. What is the LCM of 547, 458, 546, 978?

Answer: LCM of 547, 458, 546, 978 is 11148156474.

2. How to calculate the LCM of 547, 458, 546, 978?

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 547, 458, 546, 978.

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}.