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LCM of 942, 342, 335, 938, 264

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


Find the LCM of 942, 342, 335, 938, 264 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 942, 342, 335, 938, 264. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,342,335,938,264

Given numbers are 942,342,335,938,264

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

The LCM of 942,342,335,938,264 is 5540146920.

Find LCM of 942,342,335,938,264 with Prime Factorization


2 942, 342, 335, 938, 264
3 471, 171, 335, 469, 132
67 157, 57, 335, 469, 44
157, 57, 5, 7, 44

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

2 x 3 x 67 x 157 x 57 x 5 x 7 x 44 = 5540146920

Therefore, the lowest common multiple of 942,342,335,938,264 is 5540146920.

LCM Formula to Find Lowest Common Multiple of 942,342,335,938,264

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.

942 x 342 x 335 x 938 x 264 = 26725668742080

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

335 : 1, 5, 67, 335

938 : 1, 2, 7, 14, 67, 134, 469, 938

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,342,335,938,264, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

342:2x 3x 3x 19

335:5x 67

938:2x 7x 67

264:2x 2x 2x 3x 11

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 2x 3x 3x 67 = 4824

Therefore, the value for common factors is 4824.

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 = 26725668742080/(1x4824)

LCM = 26725668742080/4824

LCM = 5540146920

Thus, we can understand that the LCM of 942,342,335,938,264 is 5540146920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 342, 335, 938, 264

1. What is the LCM of 942, 342, 335, 938, 264?

Answer: LCM of 942, 342, 335, 938, 264 is 5540146920.

2. How to calculate the LCM of 942, 342, 335, 938, 264?

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 942, 342, 335, 938, 264.

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}.