Least Common Multiple of 3129/810, 8380/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3129/810, 8380/345 quickly i.e. 1748068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3129/810, 8380/345 is 1748068.

LCM(3129/810, 8380/345) = 1748068

LCM of 3129/810, 8380/345

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 3129/810,8380/345

Given numbers are 3129/810,8380/345

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 3129,8380

Least Common Multiple of Numerators i.e. LCM of 3129,8380 is 26221020.

GCF of Denominators means GCF of 810,345 as per the given fractions.

GCF of 810,345 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3129,8380

LCM of Fractions 3129/810,8380/345 is 1748068

Given numbers has no common factors except 1. So, there LCM is their product i.e 26221020

Least Common Multiple of 3129,8380 with GCF Formula

Least Common Multiple of 3129,8380 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 3129,8380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3129,8380) = 1

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

GCF(3129,8380) x common factors =1 x 1 = 1

LCM(3129,8380) = ( 3129 × 8380 ) / 1

LCM(3129,8380) = 26221020 / 1

LCM(3129,8380) = 26221020


Lets's calculate GCF of 810,345

3 810, 345
5 270, 115
54, 23

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26221020/15

Therefore the LCM of Fractions 3129/810,8380/345 is 1748068

Greatest Common Factor of 810,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,345 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 810,345 . The biggest common factor number is the GCF number.
So the greatest common factor 810,345 is 15.


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 3129/810, 8380/345

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 3129/810, 8380/345?

Answer: LCM of Numerators as per given numbers 3129/810, 8380/345 is

LCM of Numerators i.e. for 3129,8380 is 26221020

GCF of denominators i.e. for 810,345 is 15.

Thus, LCM of Fractions is 1748068.Finally, LCM of Fractions for 3129/810, 8380/345 is 1748068.