Least Common Multiple of 62/84, 21/77, 35/75, 52/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/84, 21/77, 35/75, 52/810 quickly i.e. 169260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/84, 21/77, 35/75, 52/810 is 169260.

LCM(62/84, 21/77, 35/75, 52/810) = 169260

LCM of 62/84, 21/77, 35/75, 52/810

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 62/84,21/77,35/75,52/810

Given numbers are 62/84,21/77,35/75,52/810

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 62,21,35,52

Least Common Multiple of Numerators i.e. LCM of 62,21,35,52 is 169260.

GCF of Denominators means GCF of 84,77,75,810 as per the given fractions.

GCF of 84,77,75,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,21,35,52

LCM of Fractions 62/84,21/77,35/75,52/810 is 169260

2 62, 21, 35, 52
7 31, 21, 35, 26
31, 3, 5, 26

∴ So the LCM of the given numbers is 2 x 7 x 31 x 3 x 5 x 26 = 169260

Least Common Multiple of 62,21,35,52 with GCF Formula

Least Common Multiple of 62,21,35,52 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 62,21,35,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,21,35,52) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(62,21,35,52) x common factors =1 x 14 = 14

LCM(62,21,35,52) = ( 62 × 21 × 35 × 52 ) / 14

LCM(62,21,35,52) = 2369640 / 14

LCM(62,21,35,52) = 169260


Lets's calculate GCF of 84,77,75,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169260/1

Therefore the LCM of Fractions 62/84,21/77,35/75,52/810 is 169260

Greatest Common Factor of 84,77,75,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,77,75,810 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 84,77,75,810 . The biggest common factor number is the GCF number.
So the greatest common factor 84,77,75,810 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 62/84, 21/77, 35/75, 52/810

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 62/84, 21/77, 35/75, 52/810?

Answer: LCM of Numerators as per given numbers 62/84, 21/77, 35/75, 52/810 is

LCM of Numerators i.e. for 62,21,35,52 is 169260

GCF of denominators i.e. for 84,77,75,810 is 1.

Thus, LCM of Fractions is 169260.Finally, LCM of Fractions for 62/84, 21/77, 35/75, 52/810 is 169260.