Given numbers are 437,338,292,496,672

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

The LCM of 437,338,292,496,672 is 112310915808.

Find LCM of 437,338,292,496,672 with Prime Factorization

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

2 x 2 x 2 x 2 x 437 x 169 x 73 x 31 x 42 = 112310915808

Therefore, the lowest common multiple of 437,338,292,496,672 is 112310915808.

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.

437 x 338 x 292 x 496 x 672 = 14375797223424

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.

437 : 1, 19, 23, 437

338 : 1, 2, 13, 26, 169, 338

292 : 1, 2, 4, 73, 146, 292

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,338,292,496,672, is 1.

Now, the common factors can be found like this.

437:19x 23

338:2x 13x 13

292:2x 2x 73

496:2x 2x 2x 2x 31

672:2x 2x 2x 2x 2x 3x 7

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 14375797223424/(1x128)

LCM = 14375797223424/128

LCM = 112310915808

Thus, we can understand that the LCM of 437,338,292,496,672 is 112310915808.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 406, 183, 632, 785, 766
• LCM of 807, 353, 505, 196, 743
• LCM of 798, 791, 603, 999, 404
• LCM of 857, 418, 836, 140, 544
• LCM of 674, 512, 208, 955, 318

1. What is the LCM of 437, 338, 292, 496, 672?

Answer: LCM of 437, 338, 292, 496, 672 is 112310915808.

2. How to calculate the LCM of 437, 338, 292, 496, 672?

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 437, 338, 292, 496, 672.

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}.