Least Common Multiple of 20/35, 56/69, 49/78, 25/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/35, 56/69, 49/78, 25/226 quickly i.e. 9800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/35, 56/69, 49/78, 25/226 is 9800.

LCM(20/35, 56/69, 49/78, 25/226) = 9800

LCM of 20/35, 56/69, 49/78, 25/226

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 20/35,56/69,49/78,25/226

Given numbers are 20/35,56/69,49/78,25/226

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 20,56,49,25

Least Common Multiple of Numerators i.e. LCM of 20,56,49,25 is 9800.

GCF of Denominators means GCF of 35,69,78,226 as per the given fractions.

GCF of 35,69,78,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,56,49,25

LCM of Fractions 20/35,56/69,49/78,25/226 is 9800

2 20, 56, 49, 25
2 10, 28, 49, 25
5 5, 14, 49, 25
7 1, 14, 49, 5
1, 2, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 2 x 7 x 5 = 9800

Least Common Multiple of 20,56,49,25 with GCF Formula

Least Common Multiple of 20,56,49,25 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 20,56,49,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,56,49,25) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(20,56,49,25) x common factors =1 x 140 = 140

LCM(20,56,49,25) = ( 20 × 56 × 49 × 25 ) / 140

LCM(20,56,49,25) = 1372000 / 140

LCM(20,56,49,25) = 9800


Lets's calculate GCF of 35,69,78,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9800/1

Therefore the LCM of Fractions 20/35,56/69,49/78,25/226 is 9800

Greatest Common Factor of 35,69,78,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,69,78,226 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

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 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 35,69,78,226 . The biggest common factor number is the GCF number.
So the greatest common factor 35,69,78,226 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 20/35, 56/69, 49/78, 25/226

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 20/35, 56/69, 49/78, 25/226?

Answer: LCM of Numerators as per given numbers 20/35, 56/69, 49/78, 25/226 is

LCM of Numerators i.e. for 20,56,49,25 is 9800

GCF of denominators i.e. for 35,69,78,226 is 1.

Thus, LCM of Fractions is 9800.Finally, LCM of Fractions for 20/35, 56/69, 49/78, 25/226 is 9800.