Least Common Multiple of 874/34, 853/28, 275/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/34, 853/28, 275/684 quickly i.e. 102509275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/34, 853/28, 275/684 is 102509275.

LCM(874/34, 853/28, 275/684) = 102509275

LCM of 874/34, 853/28, 275/684

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 874/34,853/28,275/684

Given numbers are 874/34,853/28,275/684

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 874,853,275

Least Common Multiple of Numerators i.e. LCM of 874,853,275 is 205018550.

GCF of Denominators means GCF of 34,28,684 as per the given fractions.

GCF of 34,28,684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,853,275

LCM of Fractions 874/34,853/28,275/684 is 102509275

Given numbers has no common factors except 1. So, there LCM is their product i.e 205018550

Least Common Multiple of 874,853,275 with GCF Formula

Least Common Multiple of 874,853,275 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 874,853,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,853,275) = 1

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

GCF(874,853,275) x common factors =1 x 1 = 1

LCM(874,853,275) = ( 874 × 853 × 275 ) / 1

LCM(874,853,275) = 205018550 / 1

LCM(874,853,275) = 205018550


Lets's calculate GCF of 34,28,684

2 34, 28, 684
17, 14, 342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205018550/2

Therefore the LCM of Fractions 874/34,853/28,275/684 is 102509275

Greatest Common Factor of 34,28,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,28,684 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 34,28,684 . The biggest common factor number is the GCF number.
So the greatest common factor 34,28,684 is 2.


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 874/34, 853/28, 275/684

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 874/34, 853/28, 275/684?

Answer: LCM of Numerators as per given numbers 874/34, 853/28, 275/684 is

LCM of Numerators i.e. for 874,853,275 is 205018550

GCF of denominators i.e. for 34,28,684 is 2.

Thus, LCM of Fractions is 102509275.Finally, LCM of Fractions for 874/34, 853/28, 275/684 is 102509275.