LCM for 30 and 110

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 110?

Answer

LCM of 30 and 110 is 330

(Three hundred thirty)

Finding LCM for 30 and 110 using GCF of these numbers

The first method to find LCM for numbers 30 and 110 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 110 is 10, so

LCM = (30 × 110) ÷ 10

LCM = 3300 ÷ 10

LCM = 330

Finding LCM for 30 and 110 by Listing Multiples

The second method to find LCM for numbers 30 and 110 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, 240, 270, 300, 330, 360, 390

Multiples of 110: 110, 220, 330, 440, 550

So the LCM for 30 and 110 is 330

Finding LCM for 30 and 110 by Prime Factorization

Another method to find LCM for numbers 30 and 110 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 110: 2, 5, 11 (exponent form: 21, 51, 111)

21 × 31 × 51 × 111 = 330

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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 110? (The answer is: 330). Select the first number (e.g. '30') and the second number (e.g. '110'). 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
15110330
16110880
171101870
18110990
191102090
20110220
211102310
22110110
231102530
241101320
25110550
261101430
271102970
281101540
291103190
30110330
311103410
321101760
33110330
341101870
35110770
361101980
371104070
381102090
391104290
40110440
411104510
421102310
431104730
44110220

FAQ

What's the Least Common Multiple (LCM) of 30 and 110?

LCM of 30 and 110 is 330

How to find the LCM of 30 and 110 using prime factorization?

To find the LCM of 30 and 110, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 330.

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 110: LCM = 330, GCF = 10.

See Also