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LCM of 941, 238, 157, 571, 272

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


Find the LCM of 941, 238, 157, 571, 272 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 941, 238, 157, 571, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,238,157,571,272

Given numbers are 941,238,157,571,272

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

The LCM of 941,238,157,571,272 is 160617302608.

Find LCM of 941,238,157,571,272 with Prime Factorization


2 941, 238, 157, 571, 272
17 941, 119, 157, 571, 136
941, 7, 157, 571, 8

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

2 x 17 x 941 x 7 x 157 x 571 x 8 = 160617302608

Therefore, the lowest common multiple of 941,238,157,571,272 is 160617302608.

LCM Formula to Find Lowest Common Multiple of 941,238,157,571,272

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.

941 x 238 x 157 x 571 x 272 = 5460988288672

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.

941 : 1, 941

238 : 1, 2, 7, 14, 17, 34, 119, 238

157 : 1, 157

571 : 1, 571

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,238,157,571,272, is 1.

Now, the common factors can be found like this.

941:941

238:2x 7x 17

157:157

571:571

272:2x 2x 2x 2x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 5460988288672/(1x34)

LCM = 5460988288672/34

LCM = 160617302608

Thus, we can understand that the LCM of 941,238,157,571,272 is 160617302608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 238, 157, 571, 272

1. What is the LCM of 941, 238, 157, 571, 272?

Answer: LCM of 941, 238, 157, 571, 272 is 160617302608.

2. How to calculate the LCM of 941, 238, 157, 571, 272?

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 941, 238, 157, 571, 272.

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}.