Least Common Multiple of 278/542, 164/374, 785/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/542, 164/374, 785/709 quickly i.e. 17894860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/542, 164/374, 785/709 is 17894860.

LCM(278/542, 164/374, 785/709) = 17894860

LCM of 278/542, 164/374, 785/709

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 278/542,164/374,785/709

Given numbers are 278/542,164/374,785/709

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 278,164,785

Least Common Multiple of Numerators i.e. LCM of 278,164,785 is 17894860.

GCF of Denominators means GCF of 542,374,709 as per the given fractions.

GCF of 542,374,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,164,785

LCM of Fractions 278/542,164/374,785/709 is 17894860

2 278, 164, 785
139, 82, 785

∴ So the LCM of the given numbers is 2 x 139 x 82 x 785 = 17894860

Least Common Multiple of 278,164,785 with GCF Formula

Least Common Multiple of 278,164,785 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 278,164,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,164,785) = 1

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

GCF(278,164,785) x common factors =1 x 2 = 2

LCM(278,164,785) = ( 278 × 164 × 785 ) / 2

LCM(278,164,785) = 35789720 / 2

LCM(278,164,785) = 17894860


Lets's calculate GCF of 542,374,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17894860/1

Therefore the LCM of Fractions 278/542,164/374,785/709 is 17894860

Greatest Common Factor of 542,374,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,374,709 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 542,374,709 . The biggest common factor number is the GCF number.
So the greatest common factor 542,374,709 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 278/542, 164/374, 785/709

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 278/542, 164/374, 785/709?

Answer: LCM of Numerators as per given numbers 278/542, 164/374, 785/709 is

LCM of Numerators i.e. for 278,164,785 is 17894860

GCF of denominators i.e. for 542,374,709 is 1.

Thus, LCM of Fractions is 17894860.Finally, LCM of Fractions for 278/542, 164/374, 785/709 is 17894860.