Least Common Multiple of 184/698, 753/644, 703/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 184/698, 753/644, 703/870 quickly i.e. 48701028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/698, 753/644, 703/870 is 48701028.

LCM(184/698, 753/644, 703/870) = 48701028

LCM of 184/698, 753/644, 703/870

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 184/698,753/644,703/870

Given numbers are 184/698,753/644,703/870

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 184,753,703

Least Common Multiple of Numerators i.e. LCM of 184,753,703 is 97402056.

GCF of Denominators means GCF of 698,644,870 as per the given fractions.

GCF of 698,644,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,753,703

LCM of Fractions 184/698,753/644,703/870 is 48701028

Given numbers has no common factors except 1. So, there LCM is their product i.e 97402056

Least Common Multiple of 184,753,703 with GCF Formula

Least Common Multiple of 184,753,703 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 184,753,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,753,703) = 1

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

GCF(184,753,703) x common factors =1 x 1 = 1

LCM(184,753,703) = ( 184 × 753 × 703 ) / 1

LCM(184,753,703) = 97402056 / 1

LCM(184,753,703) = 97402056


Lets's calculate GCF of 698,644,870

2 698, 644, 870
349, 322, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97402056/2

Therefore the LCM of Fractions 184/698,753/644,703/870 is 48701028

Greatest Common Factor of 698,644,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,644,870 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 698,644,870 . The biggest common factor number is the GCF number.
So the greatest common factor 698,644,870 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 184/698, 753/644, 703/870

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 184/698, 753/644, 703/870?

Answer: LCM of Numerators as per given numbers 184/698, 753/644, 703/870 is

LCM of Numerators i.e. for 184,753,703 is 97402056

GCF of denominators i.e. for 698,644,870 is 2.

Thus, LCM of Fractions is 48701028.Finally, LCM of Fractions for 184/698, 753/644, 703/870 is 48701028.