Least Common Multiple of 68/52, 86/66, 84/78, 62/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/52, 86/66, 84/78, 62/265 quickly i.e. 1903524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/52, 86/66, 84/78, 62/265 is 1903524.

LCM(68/52, 86/66, 84/78, 62/265) = 1903524

LCM of 68/52, 86/66, 84/78, 62/265

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 68/52,86/66,84/78,62/265

Given numbers are 68/52,86/66,84/78,62/265

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 68,86,84,62

Least Common Multiple of Numerators i.e. LCM of 68,86,84,62 is 1903524.

GCF of Denominators means GCF of 52,66,78,265 as per the given fractions.

GCF of 52,66,78,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,86,84,62

LCM of Fractions 68/52,86/66,84/78,62/265 is 1903524

2 68, 86, 84, 62
2 34, 43, 42, 31
17, 43, 21, 31

∴ So the LCM of the given numbers is 2 x 2 x 17 x 43 x 21 x 31 = 1903524

Least Common Multiple of 68,86,84,62 with GCF Formula

Least Common Multiple of 68,86,84,62 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 68,86,84,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,86,84,62) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(68,86,84,62) x common factors =2 x 8 = 16

LCM(68,86,84,62) = ( 68 × 86 × 84 × 62 ) / 16

LCM(68,86,84,62) = 30456384 / 16

LCM(68,86,84,62) = 1903524


Lets's calculate GCF of 52,66,78,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1903524/1

Therefore the LCM of Fractions 68/52,86/66,84/78,62/265 is 1903524

Greatest Common Factor of 52,66,78,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,66,78,265 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 52,66,78,265 . The biggest common factor number is the GCF number.
So the greatest common factor 52,66,78,265 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/52, 86/66, 84/78, 62/265

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 68/52, 86/66, 84/78, 62/265?

Answer: LCM of Numerators as per given numbers 68/52, 86/66, 84/78, 62/265 is

LCM of Numerators i.e. for 68,86,84,62 is 1903524

GCF of denominators i.e. for 52,66,78,265 is 1.

Thus, LCM of Fractions is 1903524.Finally, LCM of Fractions for 68/52, 86/66, 84/78, 62/265 is 1903524.