Least Common Multiple of 554/46, 920/7260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/46, 920/7260 quickly i.e. 127420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/46, 920/7260 is 127420.

LCM(554/46, 920/7260) = 127420

LCM of 554/46, 920/7260

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 554/46,920/7260

Given numbers are 554/46,920/7260

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 554,920

Least Common Multiple of Numerators i.e. LCM of 554,920 is 254840.

GCF of Denominators means GCF of 46,7260 as per the given fractions.

GCF of 46,7260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,920

LCM of Fractions 554/46,920/7260 is 127420

2 554, 920
277, 460

∴ So the LCM of the given numbers is 2 x 277 x 460 = 254840

Least Common Multiple of 554,920 with GCF Formula

Least Common Multiple of 554,920 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 554,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,920) = 2

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

GCF(554,920) x common factors =2 x 1 = 2

LCM(554,920) = ( 554 × 920 ) / 2

LCM(554,920) = 509680 / 2

LCM(554,920) = 254840


Lets's calculate GCF of 46,7260

2 46, 7260
23, 3630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254840/2

Therefore the LCM of Fractions 554/46,920/7260 is 127420

Greatest Common Factor of 46,7260 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,7260 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors 46,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7260 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 554/46, 920/7260

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 554/46, 920/7260?

Answer: LCM of Numerators as per given numbers 554/46, 920/7260 is

LCM of Numerators i.e. for 554,920 is 254840

GCF of denominators i.e. for 46,7260 is 2.

Thus, LCM of Fractions is 127420.Finally, LCM of Fractions for 554/46, 920/7260 is 127420.