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LCM of 221, 703, 529, 148

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


Find the LCM of 221, 703, 529, 148 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 221, 703, 529, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,703,529,148

Given numbers are 221,703,529,148

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

The LCM of 221,703,529,148 is 328748108.

Find LCM of 221,703,529,148 with Prime Factorization


37 221, 703, 529, 148
221, 19, 529, 4

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

37 x 221 x 19 x 529 x 4 = 328748108

Therefore, the lowest common multiple of 221,703,529,148 is 328748108.

LCM Formula to Find Lowest Common Multiple of 221,703,529,148

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.

221 x 703 x 529 x 148 = 12163679996

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.

221 : 1, 13, 17, 221

703 : 1, 19, 37, 703

529 : 1, 23, 529

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,703,529,148, is 1.

Now, the common factors can be found like this.

221:13x 17

703:19x 37

529:23x 23

148:2x 2x 37

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

37 = 37

Therefore, the value for common factors is 37.

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 = 12163679996/(1x37)

LCM = 12163679996/37

LCM = 328748108

Thus, we can understand that the LCM of 221,703,529,148 is 328748108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 703, 529, 148

1. What is the LCM of 221, 703, 529, 148?

Answer: LCM of 221, 703, 529, 148 is 328748108.

2. How to calculate the LCM of 221, 703, 529, 148?

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 221, 703, 529, 148.

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}.