Least Common Multiple of 174/703, 868/782, 211/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/703, 868/782, 211/462 quickly i.e. 15933876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/703, 868/782, 211/462 is 15933876.

LCM(174/703, 868/782, 211/462) = 15933876

LCM of 174/703, 868/782, 211/462

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 174/703,868/782,211/462

Given numbers are 174/703,868/782,211/462

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 174,868,211

Least Common Multiple of Numerators i.e. LCM of 174,868,211 is 15933876.

GCF of Denominators means GCF of 703,782,462 as per the given fractions.

GCF of 703,782,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,868,211

LCM of Fractions 174/703,868/782,211/462 is 15933876

2 174, 868, 211
87, 434, 211

∴ So the LCM of the given numbers is 2 x 87 x 434 x 211 = 15933876

Least Common Multiple of 174,868,211 with GCF Formula

Least Common Multiple of 174,868,211 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 174,868,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,868,211) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(174,868,211) x common factors =1 x 2 = 2

LCM(174,868,211) = ( 174 × 868 × 211 ) / 2

LCM(174,868,211) = 31867752 / 2

LCM(174,868,211) = 15933876


Lets's calculate GCF of 703,782,462

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15933876/1

Therefore the LCM of Fractions 174/703,868/782,211/462 is 15933876

Greatest Common Factor of 703,782,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,782,462 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 703,782,462 . The biggest common factor number is the GCF number.
So the greatest common factor 703,782,462 is 1.


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 174/703, 868/782, 211/462

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 174/703, 868/782, 211/462?

Answer: LCM of Numerators as per given numbers 174/703, 868/782, 211/462 is

LCM of Numerators i.e. for 174,868,211 is 15933876

GCF of denominators i.e. for 703,782,462 is 1.

Thus, LCM of Fractions is 15933876.Finally, LCM of Fractions for 174/703, 868/782, 211/462 is 15933876.