Least Common Multiple of 9/56, 50/786, 49/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/56, 50/786, 49/610 quickly i.e. 11025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/56, 50/786, 49/610 is 11025.

LCM(9/56, 50/786, 49/610) = 11025

LCM of 9/56, 50/786, 49/610

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 9/56,50/786,49/610

Given numbers are 9/56,50/786,49/610

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 9,50,49

Least Common Multiple of Numerators i.e. LCM of 9,50,49 is 22050.

GCF of Denominators means GCF of 56,786,610 as per the given fractions.

GCF of 56,786,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,50,49

LCM of Fractions 9/56,50/786,49/610 is 11025

Given numbers has no common factors except 1. So, there LCM is their product i.e 22050

Least Common Multiple of 9,50,49 with GCF Formula

Least Common Multiple of 9,50,49 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 9,50,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,50,49) = 1

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

GCF(9,50,49) x common factors =1 x 1 = 1

LCM(9,50,49) = ( 9 × 50 × 49 ) / 1

LCM(9,50,49) = 22050 / 1

LCM(9,50,49) = 22050


Lets's calculate GCF of 56,786,610

2 56, 786, 610
28, 393, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22050/2

Therefore the LCM of Fractions 9/56,50/786,49/610 is 11025

Greatest Common Factor of 56,786,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,786,610 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 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 56,786,610 . The biggest common factor number is the GCF number.
So the greatest common factor 56,786,610 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 9/56, 50/786, 49/610

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 9/56, 50/786, 49/610?

Answer: LCM of Numerators as per given numbers 9/56, 50/786, 49/610 is

LCM of Numerators i.e. for 9,50,49 is 22050

GCF of denominators i.e. for 56,786,610 is 2.

Thus, LCM of Fractions is 11025.Finally, LCM of Fractions for 9/56, 50/786, 49/610 is 11025.