LCM for 30 and 50

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 50?

Answer

LCM of 30 and 50 is 150

(One hundred fifty)

Finding LCM for 30 and 50 using GCF of these numbers

The first method to find LCM for numbers 30 and 50 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 50 is 10, so

LCM = (30 × 50) ÷ 10

LCM = 1500 ÷ 10

LCM = 150

Finding LCM for 30 and 50 by Listing Multiples

The second method to find LCM for numbers 30 and 50 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210

Multiples of 50: 50, 100, 150, 200, 250

So the LCM for 30 and 50 is 150

Finding LCM for 30 and 50 by Prime Factorization

Another method to find LCM for numbers 30 and 50 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

21 × 31 × 52 = 150

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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 30 and 50? (The answer is: 150). Select the first number (e.g. '30') and the second number (e.g. '50'). 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
1550150
1650400
1750850
1850450
1950950
2050100
21501050
2250550
23501150
2450600
255050
2650650
27501350
2850700
29501450
3050150
31501550
3250800
33501650
3450850
3550350
3650900
37501850
3850950
39501950
4050200
41502050
42501050
43502150
44501100

FAQ

What's the Least Common Multiple (LCM) of 30 and 50?

LCM of 30 and 50 is 150

How to find the LCM of 30 and 50 using prime factorization?

To find the LCM of 30 and 50, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 150.

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 30 and 50: LCM = 150, GCF = 10.

See Also