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LCM of 234, 156, 978, 407

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


Find the LCM of 234, 156, 978, 407 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 234, 156, 978, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,156,978,407

Given numbers are 234,156,978,407

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

The LCM of 234,156,978,407 is 31047588.

Find LCM of 234,156,978,407 with Prime Factorization


2 234, 156, 978, 407
3 117, 78, 489, 407
13 39, 26, 163, 407
3, 2, 163, 407

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

2 x 3 x 13 x 3 x 2 x 163 x 407 = 31047588

Therefore, the lowest common multiple of 234,156,978,407 is 31047588.

LCM Formula to Find Lowest Common Multiple of 234,156,978,407

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.

234 x 156 x 978 x 407 = 14530271184

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

978 : 1, 2, 3, 6, 163, 326, 489, 978

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,156,978,407, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

156:2x 2x 3x 13

978:2x 3x 163

407:11x 37

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 14530271184/(1x468)

LCM = 14530271184/468

LCM = 31047588

Thus, we can understand that the LCM of 234,156,978,407 is 31047588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 156, 978, 407

1. What is the LCM of 234, 156, 978, 407?

Answer: LCM of 234, 156, 978, 407 is 31047588.

2. How to calculate the LCM of 234, 156, 978, 407?

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 234, 156, 978, 407.

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}.