LCM for 48 and 450

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 48 and 450?

Answer

LCM of 48 and 450 is
3,600

(Three thousand six hundred)

Finding LCM for 48 and 450 using GCF of these numbers

The first method to find LCM for numbers 48 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 450 is 6, so

LCM = (48 × 450) ÷ 6

LCM = 21,600 ÷ 6

LCM = 3,600

Finding LCM for 48 and 450 by Listing Multiples

The second method to find LCM for numbers 48 and 450 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1,008, 1,056, 1,104, 1,152, 1,200, 1,248, 1,296, 1,344, 1,392, 1,440, 1,488, 1,536, 1,584, 1,632, 1,680, 1,728, 1,776, 1,824, 1,872, 1,920, 1,968, 2,016, 2,064, 2,112, 2,160, 2,208, 2,256, 2,304, 2,352, 2,400, 2,448, 2,496, 2,544, 2,592, 2,640, 2,688, 2,736, 2,784, 2,832, 2,880, 2,928, 2,976, 3,024, 3,072, 3,120, 3,168, 3,216, 3,264, 3,312, 3,360, 3,408, 3,456, 3,504, 3,552, 3,600, 3,648, 3,696

Multiples of 450: 450, 900, 1,350, 1,800, 2,250, 2,700, 3,150, 3,600, 4,050, 4,500

So the LCM for 48 and 450 is 3,600

Finding LCM for 48 and 450 by Prime Factorization

Another method to find LCM for numbers 48 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 450: 2, 3, 3, 5, 5 (exponent form: 21, 32, 52)

24 × 32 × 52 = 3,600

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 48 and 450? (The answer is: 3,600). Select the first number (e.g. '48') and the second number (e.g. '450'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
and

LCM Table

Number 1Number 2LCM
481248
483296
4836144
48501,200
4852624
4854432
4856336
4857912
48581,392
4860240
4866528
4872144
48751,200
4880240
48811,296
4884336
489696
48991,584
481001,200
48120240
48128384
48168336
484503,600

FAQ

What's the Least Common Multiple (LCM) of 48 and 450?

LCM of 48 and 450 is 3,600

How to find the LCM of 48 and 450 using prime factorization?

To find the LCM of 48 and 450, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,600.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 48 and 450: LCM = 3,600, GCF = 6.

See Also