Least Common Multiple of 19/56, 771/10, 846/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/56, 771/10, 846/120 quickly i.e. 2065509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/56, 771/10, 846/120 is 2065509.

LCM(19/56, 771/10, 846/120) = 2065509

LCM of 19/56, 771/10, 846/120

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 19/56,771/10,846/120

Given numbers are 19/56,771/10,846/120

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 19,771,846

Least Common Multiple of Numerators i.e. LCM of 19,771,846 is 4131018.

GCF of Denominators means GCF of 56,10,120 as per the given fractions.

GCF of 56,10,120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,771,846

LCM of Fractions 19/56,771/10,846/120 is 2065509

3 19, 771, 846
19, 257, 282

∴ So the LCM of the given numbers is 3 x 19 x 257 x 282 = 4131018

Least Common Multiple of 19,771,846 with GCF Formula

Least Common Multiple of 19,771,846 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 19,771,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,771,846) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,771,846) x common factors =1 x 3 = 3

LCM(19,771,846) = ( 19 × 771 × 846 ) / 3

LCM(19,771,846) = 12393054 / 3

LCM(19,771,846) = 4131018


Lets's calculate GCF of 56,10,120

2 56, 10, 120
28, 5, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4131018/2

Therefore the LCM of Fractions 19/56,771/10,846/120 is 2065509

Greatest Common Factor of 56,10,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,10,120 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 56,10,120 . The biggest common factor number is the GCF number.
So the greatest common factor 56,10,120 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 19/56, 771/10, 846/120

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 19/56, 771/10, 846/120?

Answer: LCM of Numerators as per given numbers 19/56, 771/10, 846/120 is

LCM of Numerators i.e. for 19,771,846 is 4131018

GCF of denominators i.e. for 56,10,120 is 2.

Thus, LCM of Fractions is 2065509.Finally, LCM of Fractions for 19/56, 771/10, 846/120 is 2065509.