LCM for 42 and 270

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 42 and 270?

Answer: LCM of 42 and 270 is 1,890

(One thousand, eight hundred ninety)

Finding LCM for 42 and 270 using GCF's of these numbers

The first method to find LCM for numbers 42 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 270 is 6, so

LCM = (42 × 270) ÷ 6

LCM = 11340 ÷ 6

LCM = 1890

Finding LCM for 42 and 270 by Listing Multiples

The second method to find LCM for numbers 42 and 270 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974

Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430

So the LCM for 42 and 270 is 1890

Finding LCM for 42 and 270 by Prime Factorization

Another method to find LCM for numbers 42 and 270 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)

All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

21 × 33 × 71 × 51 = 1890

Share This Calculation
https://calculat.io/en/number/least-common-multiple-lcm-of/42--270Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/42--270">What is the LCM of 42 and 270? - Calculatio</a>Copy
What is the LCM of 42 and 270?. Find the LCM of 270 and 42 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/42--270/generated.jpgCopy

LCM Table

Number 1Number 2LCM
27270270
282703780
292707830
30270270
312708370
322704320
332702970
342704590
352701890
36270540
372709990
382705130
392703510
402701080
4127011070
422701890
4327011610
442705940
45270270
462706210
4727012690
482702160
4927013230
502701350
512704590
522707020
5327014310
54270270
552702970
562707560

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 42 and 270? (The answer is: 1890). Select the first number (e.g. '42') and the second number (e.g. '270'). 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

FAQ

What's the Least Common Multiple (LCM) of 42 and 270?

LCM of 42 and 270 is 1,890

See Also