Least Common Multiple of 403/351, 2609/4380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/351, 2609/4380 quickly i.e. 1051427/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/351, 2609/4380 is 1051427/3.

LCM(403/351, 2609/4380) = 1051427/3

LCM of 403/351, 2609/4380

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 403/351,2609/4380

Given numbers are 403/351,2609/4380

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 403,2609

Least Common Multiple of Numerators i.e. LCM of 403,2609 is 1051427.

GCF of Denominators means GCF of 351,4380 as per the given fractions.

GCF of 351,4380 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,2609

LCM of Fractions 403/351,2609/4380 is 1051427/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1051427

Least Common Multiple of 403,2609 with GCF Formula

Least Common Multiple of 403,2609 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 403,2609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,2609) = 1

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

GCF(403,2609) x common factors =1 x 1 = 1

LCM(403,2609) = ( 403 × 2609 ) / 1

LCM(403,2609) = 1051427 / 1

LCM(403,2609) = 1051427


Lets's calculate GCF of 351,4380

3 351, 4380
117, 1460

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1051427/3

Therefore the LCM of Fractions 403/351,2609/4380 is 1051427/3

Greatest Common Factor of 351,4380 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,4380 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380

Greatest Common Factor

We found the factors 351,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 351,4380 is 3.


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 403/351, 2609/4380

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 403/351, 2609/4380?

Answer: LCM of Numerators as per given numbers 403/351, 2609/4380 is

LCM of Numerators i.e. for 403,2609 is 1051427

GCF of denominators i.e. for 351,4380 is 3.

Thus, LCM of Fractions is 1051427/3.Finally, LCM of Fractions for 403/351, 2609/4380 is 1051427/3.