Least Common Multiple of 84/262, 529/742, 174/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/262, 529/742, 174/914 quickly i.e. 644322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/262, 529/742, 174/914 is 644322.

LCM(84/262, 529/742, 174/914) = 644322

LCM of 84/262, 529/742, 174/914

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 84/262,529/742,174/914

Given numbers are 84/262,529/742,174/914

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 84,529,174

Least Common Multiple of Numerators i.e. LCM of 84,529,174 is 1288644.

GCF of Denominators means GCF of 262,742,914 as per the given fractions.

GCF of 262,742,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,529,174

LCM of Fractions 84/262,529/742,174/914 is 644322

2 84, 529, 174
3 42, 529, 87
14, 529, 29

∴ So the LCM of the given numbers is 2 x 3 x 14 x 529 x 29 = 1288644

Least Common Multiple of 84,529,174 with GCF Formula

Least Common Multiple of 84,529,174 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 84,529,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,529,174) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,529,174) x common factors =1 x 6 = 6

LCM(84,529,174) = ( 84 × 529 × 174 ) / 6

LCM(84,529,174) = 7731864 / 6

LCM(84,529,174) = 1288644


Lets's calculate GCF of 262,742,914

2 262, 742, 914
131, 371, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1288644/2

Therefore the LCM of Fractions 84/262,529/742,174/914 is 644322

Greatest Common Factor of 262,742,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,742,914 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 262,742,914 . The biggest common factor number is the GCF number.
So the greatest common factor 262,742,914 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 84/262, 529/742, 174/914

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 84/262, 529/742, 174/914?

Answer: LCM of Numerators as per given numbers 84/262, 529/742, 174/914 is

LCM of Numerators i.e. for 84,529,174 is 1288644

GCF of denominators i.e. for 262,742,914 is 2.

Thus, LCM of Fractions is 644322.Finally, LCM of Fractions for 84/262, 529/742, 174/914 is 644322.