LCM for 30 and 470

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 470?

Answer

LCM of 30 and 470 is 1,410

(One thousand, four hundred ten)

Finding LCM for 30 and 470 using GCF of these numbers

The first method to find LCM for numbers 30 and 470 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 470 is 10, so

LCM = (30 × 470) ÷ 10

LCM = 14100 ÷ 10

LCM = 1410

Finding LCM for 30 and 470 by Listing Multiples

The second method to find LCM for numbers 30 and 470 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, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470

Multiples of 470: 470, 940, 1410, 1880, 2350

So the LCM for 30 and 470 is 1410

Finding LCM for 30 and 470 by Prime Factorization

Another method to find LCM for numbers 30 and 470 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 470: 2, 5, 47 (exponent form: 21, 51, 471)

21 × 31 × 51 × 471 = 1410

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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 470? (The answer is: 1410). Select the first number (e.g. '30') and the second number (e.g. '470'). 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
154701410
164703760
174707990
184704230
194708930
20470940
214709870
224705170
2347010810
244705640
254702350
264706110
2747012690
284706580
2947013630
304701410
3147014570
324707520
3347015510
344707990
354703290
364708460
3747017390
384708930
3947018330
404701880
4147019270
424709870
4347020210
4447010340

FAQ

What's the Least Common Multiple (LCM) of 30 and 470?

LCM of 30 and 470 is 1,410

How to find the LCM of 30 and 470 using prime factorization?

To find the LCM of 30 and 470, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,410.

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 470: LCM = 1,410, GCF = 10.

See Also