Least Common Multiple of 84/64, 62/74, 529/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/64, 62/74, 529/420 quickly i.e. 688758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/64, 62/74, 529/420 is 688758.

LCM(84/64, 62/74, 529/420) = 688758

LCM of 84/64, 62/74, 529/420

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 84/64,62/74,529/420

Given numbers are 84/64,62/74,529/420

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 84,62,529

Least Common Multiple of Numerators i.e. LCM of 84,62,529 is 1377516.

GCF of Denominators means GCF of 64,74,420 as per the given fractions.

GCF of 64,74,420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,62,529

LCM of Fractions 84/64,62/74,529/420 is 688758

2 84, 62, 529
42, 31, 529

∴ So the LCM of the given numbers is 2 x 42 x 31 x 529 = 1377516

Least Common Multiple of 84,62,529 with GCF Formula

Least Common Multiple of 84,62,529 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 84,62,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,62,529) = 1

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

GCF(84,62,529) x common factors =1 x 2 = 2

LCM(84,62,529) = ( 84 × 62 × 529 ) / 2

LCM(84,62,529) = 2755032 / 2

LCM(84,62,529) = 1377516


Lets's calculate GCF of 64,74,420

2 64, 74, 420
32, 37, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1377516/2

Therefore the LCM of Fractions 84/64,62/74,529/420 is 688758

Greatest Common Factor of 64,74,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,74,420 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 64,74,420 . The biggest common factor number is the GCF number.
So the greatest common factor 64,74,420 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 84/64, 62/74, 529/420

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 84/64, 62/74, 529/420?

Answer: LCM of Numerators as per given numbers 84/64, 62/74, 529/420 is

LCM of Numerators i.e. for 84,62,529 is 1377516

GCF of denominators i.e. for 64,74,420 is 2.

Thus, LCM of Fractions is 688758.Finally, LCM of Fractions for 84/64, 62/74, 529/420 is 688758.