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LCM of 153, 307, 307, 546

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


Find the LCM of 153, 307, 307, 546 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 153, 307, 307, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,307,307,546

Given numbers are 153,307,307,546

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

The LCM of 153,307,307,546 is 8548722.

Find LCM of 153,307,307,546 with Prime Factorization


3 153, 307, 307, 546
307 51, 307, 307, 182
51, 1, 1, 182

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

3 x 307 x 51 x 1 x 1 x 182 = 8548722

Therefore, the lowest common multiple of 153,307,307,546 is 8548722.

LCM Formula to Find Lowest Common Multiple of 153,307,307,546

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.

153 x 307 x 307 x 546 = 7873372962

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.

153 : 1, 3, 9, 17, 51, 153

307 : 1, 307

307 : 1, 307

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,307,307,546, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

307:307

307:307

546:2x 3x 7x 13

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

3x 307 = 921

Therefore, the value for common factors is 921.

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 = 7873372962/(1x921)

LCM = 7873372962/921

LCM = 8548722

Thus, we can understand that the LCM of 153,307,307,546 is 8548722.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 307, 307, 546

1. What is the LCM of 153, 307, 307, 546?

Answer: LCM of 153, 307, 307, 546 is 8548722.

2. How to calculate the LCM of 153, 307, 307, 546?

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 153, 307, 307, 546.

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}.