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LCM of 854, 527, 427, 661

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


Find the LCM of 854, 527, 427, 661 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 854, 527, 427, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,527,427,661

Given numbers are 854,527,427,661

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

The LCM of 854,527,427,661 is 297488338.

Find LCM of 854,527,427,661 with Prime Factorization


7 854, 527, 427, 661
61 122, 527, 61, 661
2, 527, 1, 661

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

7 x 61 x 2 x 527 x 1 x 661 = 297488338

Therefore, the lowest common multiple of 854,527,427,661 is 297488338.

LCM Formula to Find Lowest Common Multiple of 854,527,427,661

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.

854 x 527 x 427 x 661 = 127027520326

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

527 : 1, 17, 31, 527

427 : 1, 7, 61, 427

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,527,427,661, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

527:17x 31

427:7x 61

661:661

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 61 = 427

Therefore, the value for common factors is 427.

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 = 127027520326/(1x427)

LCM = 127027520326/427

LCM = 297488338

Thus, we can understand that the LCM of 854,527,427,661 is 297488338.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 527, 427, 661

1. What is the LCM of 854, 527, 427, 661?

Answer: LCM of 854, 527, 427, 661 is 297488338.

2. How to calculate the LCM of 854, 527, 427, 661?

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 854, 527, 427, 661.

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}.