Least Common Multiple of 59/14, 848/78, 842/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/14, 848/78, 842/745 quickly i.e. 21063472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/14, 848/78, 842/745 is 21063472.

LCM(59/14, 848/78, 842/745) = 21063472

LCM of 59/14, 848/78, 842/745

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 59/14,848/78,842/745

Given numbers are 59/14,848/78,842/745

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 59,848,842

Least Common Multiple of Numerators i.e. LCM of 59,848,842 is 21063472.

GCF of Denominators means GCF of 14,78,745 as per the given fractions.

GCF of 14,78,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,848,842

LCM of Fractions 59/14,848/78,842/745 is 21063472

2 59, 848, 842
59, 424, 421

∴ So the LCM of the given numbers is 2 x 59 x 424 x 421 = 21063472

Least Common Multiple of 59,848,842 with GCF Formula

Least Common Multiple of 59,848,842 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 59,848,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,848,842) = 1

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

GCF(59,848,842) x common factors =1 x 2 = 2

LCM(59,848,842) = ( 59 × 848 × 842 ) / 2

LCM(59,848,842) = 42126944 / 2

LCM(59,848,842) = 21063472


Lets's calculate GCF of 14,78,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21063472/1

Therefore the LCM of Fractions 59/14,848/78,842/745 is 21063472

Greatest Common Factor of 14,78,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,78,745 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 14,78,745 . The biggest common factor number is the GCF number.
So the greatest common factor 14,78,745 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/14, 848/78, 842/745

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 59/14, 848/78, 842/745?

Answer: LCM of Numerators as per given numbers 59/14, 848/78, 842/745 is

LCM of Numerators i.e. for 59,848,842 is 21063472

GCF of denominators i.e. for 14,78,745 is 1.

Thus, LCM of Fractions is 21063472.Finally, LCM of Fractions for 59/14, 848/78, 842/745 is 21063472.