Least Common Multiple of 345/283, 4780/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/283, 4780/267 quickly i.e. 329820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/283, 4780/267 is 329820.

LCM(345/283, 4780/267) = 329820

LCM of 345/283, 4780/267

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 345/283,4780/267

Given numbers are 345/283,4780/267

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 345,4780

Least Common Multiple of Numerators i.e. LCM of 345,4780 is 329820.

GCF of Denominators means GCF of 283,267 as per the given fractions.

GCF of 283,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,4780

LCM of Fractions 345/283,4780/267 is 329820

5 345, 4780
69, 956

∴ So the LCM of the given numbers is 5 x 69 x 956 = 329820

Least Common Multiple of 345,4780 with GCF Formula

Least Common Multiple of 345,4780 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 345,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,4780) = 5

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

GCF(345,4780) x common factors =5 x 1 = 5

LCM(345,4780) = ( 345 × 4780 ) / 5

LCM(345,4780) = 1649100 / 5

LCM(345,4780) = 329820


Lets's calculate GCF of 283,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329820/1

Therefore the LCM of Fractions 345/283,4780/267 is 329820

Greatest Common Factor of 283,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,267 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 283,267 . The biggest common factor number is the GCF number.
So the greatest common factor 283,267 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 345/283, 4780/267

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 345/283, 4780/267?

Answer: LCM of Numerators as per given numbers 345/283, 4780/267 is

LCM of Numerators i.e. for 345,4780 is 329820

GCF of denominators i.e. for 283,267 is 1.

Thus, LCM of Fractions is 329820.Finally, LCM of Fractions for 345/283, 4780/267 is 329820.