Least Common Multiple of 5676/245, 9554/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5676/245, 9554/980 quickly i.e. 27114252/245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5676/245, 9554/980 is 27114252/245.

LCM(5676/245, 9554/980) = 27114252/245

LCM of 5676/245, 9554/980

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 5676/245,9554/980

Given numbers are 5676/245,9554/980

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 5676,9554

Least Common Multiple of Numerators i.e. LCM of 5676,9554 is 27114252.

GCF of Denominators means GCF of 245,980 as per the given fractions.

GCF of 245,980 is 245 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5676,9554

LCM of Fractions 5676/245,9554/980 is 27114252/245

2 5676, 9554
2838, 4777

∴ So the LCM of the given numbers is 2 x 2838 x 4777 = 27114252

Least Common Multiple of 5676,9554 with GCF Formula

Least Common Multiple of 5676,9554 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 5676,9554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5676,9554) = 2

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

GCF(5676,9554) x common factors =2 x 1 = 2

LCM(5676,9554) = ( 5676 × 9554 ) / 2

LCM(5676,9554) = 54228504 / 2

LCM(5676,9554) = 27114252


Lets's calculate GCF of 245,980

5 245, 980
7 49, 196
7 7, 28
1, 4

∴ So the GCF of the given numbers is 5 x 7 x 7 = 245

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27114252/245

Therefore the LCM of Fractions 5676/245,9554/980 is 27114252/245

Greatest Common Factor of 245,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,980 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 245,980 . The biggest common factor number is the GCF number.
So the greatest common factor 245,980 is 245.


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 5676/245, 9554/980

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 5676/245, 9554/980?

Answer: LCM of Numerators as per given numbers 5676/245, 9554/980 is

LCM of Numerators i.e. for 5676,9554 is 27114252

GCF of denominators i.e. for 245,980 is 245.

Thus, LCM of Fractions is 27114252/245.Finally, LCM of Fractions for 5676/245, 9554/980 is 27114252/245.