Least Common Multiple of 225/980, 5350/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/980, 5350/726 quickly i.e. 24075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/980, 5350/726 is 24075.

LCM(225/980, 5350/726) = 24075

LCM of 225/980, 5350/726

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 225/980,5350/726

Given numbers are 225/980,5350/726

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 225,5350

Least Common Multiple of Numerators i.e. LCM of 225,5350 is 48150.

GCF of Denominators means GCF of 980,726 as per the given fractions.

GCF of 980,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,5350

LCM of Fractions 225/980,5350/726 is 24075

5 225, 5350
5 45, 1070
9, 214

∴ So the LCM of the given numbers is 5 x 5 x 9 x 214 = 48150

Least Common Multiple of 225,5350 with GCF Formula

Least Common Multiple of 225,5350 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 225,5350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,5350) = 25

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

GCF(225,5350) x common factors =25 x 1 = 25

LCM(225,5350) = ( 225 × 5350 ) / 25

LCM(225,5350) = 1203750 / 25

LCM(225,5350) = 48150


Lets's calculate GCF of 980,726

2 980, 726
490, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48150/2

Therefore the LCM of Fractions 225/980,5350/726 is 24075

Greatest Common Factor of 980,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,726 By Matching Biggest Common Factor Method

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

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 980,726 . The biggest common factor number is the GCF number.
So the greatest common factor 980,726 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 225/980, 5350/726

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 225/980, 5350/726?

Answer: LCM of Numerators as per given numbers 225/980, 5350/726 is

LCM of Numerators i.e. for 225,5350 is 48150

GCF of denominators i.e. for 980,726 is 2.

Thus, LCM of Fractions is 24075.Finally, LCM of Fractions for 225/980, 5350/726 is 24075.