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LCM of 346, 807, 269, 269, 110

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


Find the LCM of 346, 807, 269, 269, 110 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 346, 807, 269, 269, 110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,807,269,269,110

Given numbers are 346,807,269,269,110

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

The LCM of 346,807,269,269,110 is 15357210.

Find LCM of 346,807,269,269,110 with Prime Factorization


2 346, 807, 269, 269, 110
269 173, 807, 269, 269, 55
173, 3, 1, 1, 55

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

2 x 269 x 173 x 3 x 1 x 1 x 55 = 15357210

Therefore, the lowest common multiple of 346,807,269,269,110 is 15357210.

LCM Formula to Find Lowest Common Multiple of 346,807,269,269,110

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.

346 x 807 x 269 x 269 x 110 = 2222526145620

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.

346 : 1, 2, 173, 346

807 : 1, 3, 269, 807

269 : 1, 269

269 : 1, 269

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,807,269,269,110, is 1.

Now, the common factors can be found like this.

346:2x 173

807:3x 269

269:269

269:269

110:2x 5x 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 269x 269 = 144722

Therefore, the value for common factors is 144722.

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 = 2222526145620/(1x144722)

LCM = 2222526145620/144722

LCM = 15357210

Thus, we can understand that the LCM of 346,807,269,269,110 is 15357210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 807, 269, 269, 110

1. What is the LCM of 346, 807, 269, 269, 110?

Answer: LCM of 346, 807, 269, 269, 110 is 15357210.

2. How to calculate the LCM of 346, 807, 269, 269, 110?

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 346, 807, 269, 269, 110.

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}.