Least Common Multiple of 345/872, 4560/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/872, 4560/700 quickly i.e. 26220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/872, 4560/700 is 26220.

LCM(345/872, 4560/700) = 26220

LCM of 345/872, 4560/700

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 345/872,4560/700

Given numbers are 345/872,4560/700

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 345,4560

Least Common Multiple of Numerators i.e. LCM of 345,4560 is 104880.

GCF of Denominators means GCF of 872,700 as per the given fractions.

GCF of 872,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,4560

LCM of Fractions 345/872,4560/700 is 26220

3 345, 4560
5 115, 1520
23, 304

∴ So the LCM of the given numbers is 3 x 5 x 23 x 304 = 104880

Least Common Multiple of 345,4560 with GCF Formula

Least Common Multiple of 345,4560 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 345,4560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,4560) = 15

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

GCF(345,4560) x common factors =15 x 1 = 15

LCM(345,4560) = ( 345 × 4560 ) / 15

LCM(345,4560) = 1573200 / 15

LCM(345,4560) = 104880


Lets's calculate GCF of 872,700

2 872, 700
2 436, 350
218, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104880/4

Therefore the LCM of Fractions 345/872,4560/700 is 26220

Greatest Common Factor of 872,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,700 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 872,700 . The biggest common factor number is the GCF number.
So the greatest common factor 872,700 is 4.


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 345/872, 4560/700

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 345/872, 4560/700?

Answer: LCM of Numerators as per given numbers 345/872, 4560/700 is

LCM of Numerators i.e. for 345,4560 is 104880

GCF of denominators i.e. for 872,700 is 4.

Thus, LCM of Fractions is 26220.Finally, LCM of Fractions for 345/872, 4560/700 is 26220.