Least Common Multiple of 84/74, 77/78, 85/49, 68/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/74, 77/78, 85/49, 68/302 quickly i.e. 78540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/74, 77/78, 85/49, 68/302 is 78540.

LCM(84/74, 77/78, 85/49, 68/302) = 78540

LCM of 84/74, 77/78, 85/49, 68/302

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 84/74,77/78,85/49,68/302

Given numbers are 84/74,77/78,85/49,68/302

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 84,77,85,68

Least Common Multiple of Numerators i.e. LCM of 84,77,85,68 is 78540.

GCF of Denominators means GCF of 74,78,49,302 as per the given fractions.

GCF of 74,78,49,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,77,85,68

LCM of Fractions 84/74,77/78,85/49,68/302 is 78540

2 84, 77, 85, 68
2 42, 77, 85, 34
7 21, 77, 85, 17
17 3, 11, 85, 17
3, 11, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 3 x 11 x 5 x 1 = 78540

Least Common Multiple of 84,77,85,68 with GCF Formula

Least Common Multiple of 84,77,85,68 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 84,77,85,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,77,85,68) = 1

common factors(in case of two or more numbers have common factors) = 476

GCF(84,77,85,68) x common factors =1 x 476 = 476

LCM(84,77,85,68) = ( 84 × 77 × 85 × 68 ) / 476

LCM(84,77,85,68) = 37385040 / 476

LCM(84,77,85,68) = 78540


Lets's calculate GCF of 74,78,49,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78540/1

Therefore the LCM of Fractions 84/74,77/78,85/49,68/302 is 78540

Greatest Common Factor of 74,78,49,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,78,49,302 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 74,78,49,302 . The biggest common factor number is the GCF number.
So the greatest common factor 74,78,49,302 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 84/74, 77/78, 85/49, 68/302

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 84/74, 77/78, 85/49, 68/302?

Answer: LCM of Numerators as per given numbers 84/74, 77/78, 85/49, 68/302 is

LCM of Numerators i.e. for 84,77,85,68 is 78540

GCF of denominators i.e. for 74,78,49,302 is 1.

Thus, LCM of Fractions is 78540.Finally, LCM of Fractions for 84/74, 77/78, 85/49, 68/302 is 78540.