LCM for 120 and 450

What's the Least Common Multiple (LCM) of 120 and 450?

Answer: LCM of 120 and 450 is 1,800

(One thousand, eight hundred)

Finding LCM for 120 and 450 using GCF's of these numbers

The first method to find LCM for numbers 120 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 450 is 30, so

LCM = (120 × 450) ÷ 30

LCM = 54000 ÷ 30

LCM = 1800

Finding LCM for 120 and 450 by Listing Multiples

The second method to find LCM for numbers 120 and 450 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040

Multiples of 450: 450, 900, 1350, 1800, 2250, 2700

So the LCM for 120 and 450 is 1800

Finding LCM for 120 and 450 by Prime Factorization

Another method to find LCM for numbers 120 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

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

23 × 32 × 52 = 1800

Related Calculations

LCM Table

Number 1Number 2LCM
1054503150
10645023850
10745048150
1084502700
10945049050
1104504950
11145016650
11245025200
11345050850
1144508550
11545010350
11645026100
1174505850
11845026550
11945053550
1204501800
12145054450
12245027450
12345018450
12445027900
1254502250
1264503150
12745057150
12845028800
12945019350
1304505850
13145058950
1324509900
13345059850
13445030150

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 120 and 450? (The answer is: 1800). Select the first number (e.g. '120') 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

FAQ

What's the Least Common Multiple (LCM) of 120 and 450?

LCM of 120 and 450 is 1,800