Least Common Multiple of 1076/321, 1511/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1076/321, 1511/223 quickly i.e. 1625836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1076/321, 1511/223 is 1625836.

LCM(1076/321, 1511/223) = 1625836

LCM of 1076/321, 1511/223

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1076/321,1511/223

Given numbers are 1076/321,1511/223

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1076,1511

Least Common Multiple of Numerators i.e. LCM of 1076,1511 is 1625836.

GCF of Denominators means GCF of 321,223 as per the given fractions.

GCF of 321,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1076,1511

LCM of Fractions 1076/321,1511/223 is 1625836

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625836

Least Common Multiple of 1076,1511 with GCF Formula

Least Common Multiple of 1076,1511 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1076,1511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1076,1511) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1076,1511) x common factors =1 x 1 = 1

LCM(1076,1511) = ( 1076 × 1511 ) / 1

LCM(1076,1511) = 1625836 / 1

LCM(1076,1511) = 1625836


Lets's calculate GCF of 321,223

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1625836/1

Therefore the LCM of Fractions 1076/321,1511/223 is 1625836

Greatest Common Factor of 321,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,223 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 321,223 . The biggest common factor number is the GCF number.
So the greatest common factor 321,223 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1076/321, 1511/223

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1076/321, 1511/223?

Answer: LCM of Numerators as per given numbers 1076/321, 1511/223 is

LCM of Numerators i.e. for 1076,1511 is 1625836

GCF of denominators i.e. for 321,223 is 1.

Thus, LCM of Fractions is 1625836.Finally, LCM of Fractions for 1076/321, 1511/223 is 1625836.