Least Common Multiple of 70/68, 988/54, 589/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/68, 988/54, 589/416 quickly i.e. 535990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/68, 988/54, 589/416 is 535990.

LCM(70/68, 988/54, 589/416) = 535990

LCM of 70/68, 988/54, 589/416

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 70/68,988/54,589/416

Given numbers are 70/68,988/54,589/416

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 70,988,589

Least Common Multiple of Numerators i.e. LCM of 70,988,589 is 1071980.

GCF of Denominators means GCF of 68,54,416 as per the given fractions.

GCF of 68,54,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,988,589

LCM of Fractions 70/68,988/54,589/416 is 535990

2 70, 988, 589
19 35, 494, 589
35, 26, 31

∴ So the LCM of the given numbers is 2 x 19 x 35 x 26 x 31 = 1071980

Least Common Multiple of 70,988,589 with GCF Formula

Least Common Multiple of 70,988,589 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 70,988,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,988,589) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(70,988,589) x common factors =1 x 38 = 38

LCM(70,988,589) = ( 70 × 988 × 589 ) / 38

LCM(70,988,589) = 40735240 / 38

LCM(70,988,589) = 1071980


Lets's calculate GCF of 68,54,416

2 68, 54, 416
34, 27, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1071980/2

Therefore the LCM of Fractions 70/68,988/54,589/416 is 535990

Greatest Common Factor of 68,54,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,54,416 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 68,54,416 . The biggest common factor number is the GCF number.
So the greatest common factor 68,54,416 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 70/68, 988/54, 589/416

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 70/68, 988/54, 589/416?

Answer: LCM of Numerators as per given numbers 70/68, 988/54, 589/416 is

LCM of Numerators i.e. for 70,988,589 is 1071980

GCF of denominators i.e. for 68,54,416 is 2.

Thus, LCM of Fractions is 535990.Finally, LCM of Fractions for 70/68, 988/54, 589/416 is 535990.