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LCM of 469, 376, 611, 141

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


Find the LCM of 469, 376, 611, 141 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 469, 376, 611, 141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,376,611,141

Given numbers are 469,376,611,141

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

The LCM of 469,376,611,141 is 6877416.

Find LCM of 469,376,611,141 with Prime Factorization


47 469, 376, 611, 141
469, 8, 13, 3

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

47 x 469 x 8 x 13 x 3 = 6877416

Therefore, the lowest common multiple of 469,376,611,141 is 6877416.

LCM Formula to Find Lowest Common Multiple of 469,376,611,141

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.

469 x 376 x 611 x 141 = 15192211944

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.

469 : 1, 7, 67, 469

376 : 1, 2, 4, 8, 47, 94, 188, 376

611 : 1, 13, 47, 611

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,376,611,141, is 1.

Now, the common factors can be found like this.

469:7x 67

376:2x 2x 2x 47

611:13x 47

141:3x 47

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

47x 47 = 2209

Therefore, the value for common factors is 2209.

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 = 15192211944/(1x2209)

LCM = 15192211944/2209

LCM = 6877416

Thus, we can understand that the LCM of 469,376,611,141 is 6877416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 376, 611, 141

1. What is the LCM of 469, 376, 611, 141?

Answer: LCM of 469, 376, 611, 141 is 6877416.

2. How to calculate the LCM of 469, 376, 611, 141?

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 469, 376, 611, 141.

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}.