Least Common Multiple of 840/77, 855/5890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 840/77, 855/5890 quickly i.e. 47880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/77, 855/5890 is 47880.

LCM(840/77, 855/5890) = 47880

LCM of 840/77, 855/5890

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 840/77,855/5890

Given numbers are 840/77,855/5890

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 840,855

Least Common Multiple of Numerators i.e. LCM of 840,855 is 47880.

GCF of Denominators means GCF of 77,5890 as per the given fractions.

GCF of 77,5890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,855

LCM of Fractions 840/77,855/5890 is 47880

3 840, 855
5 280, 285
56, 57

∴ So the LCM of the given numbers is 3 x 5 x 56 x 57 = 47880

Least Common Multiple of 840,855 with GCF Formula

Least Common Multiple of 840,855 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 840,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,855) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(840,855) x common factors =15 x 1 = 15

LCM(840,855) = ( 840 × 855 ) / 15

LCM(840,855) = 718200 / 15

LCM(840,855) = 47880


Lets's calculate GCF of 77,5890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47880/1

Therefore the LCM of Fractions 840/77,855/5890 is 47880

Greatest Common Factor of 77,5890 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,5890 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890

Greatest Common Factor

We found the factors 77,5890 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5890 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 840/77, 855/5890

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 840/77, 855/5890?

Answer: LCM of Numerators as per given numbers 840/77, 855/5890 is

LCM of Numerators i.e. for 840,855 is 47880

GCF of denominators i.e. for 77,5890 is 1.

Thus, LCM of Fractions is 47880.Finally, LCM of Fractions for 840/77, 855/5890 is 47880.