Least Common Multiple of 554/60, 142/47, 368/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/60, 142/47, 368/921 quickly i.e. 7237456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/60, 142/47, 368/921 is 7237456.

LCM(554/60, 142/47, 368/921) = 7237456

LCM of 554/60, 142/47, 368/921

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 554/60,142/47,368/921

Given numbers are 554/60,142/47,368/921

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 554,142,368

Least Common Multiple of Numerators i.e. LCM of 554,142,368 is 7237456.

GCF of Denominators means GCF of 60,47,921 as per the given fractions.

GCF of 60,47,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,142,368

LCM of Fractions 554/60,142/47,368/921 is 7237456

2 554, 142, 368
277, 71, 184

∴ So the LCM of the given numbers is 2 x 277 x 71 x 184 = 7237456

Least Common Multiple of 554,142,368 with GCF Formula

Least Common Multiple of 554,142,368 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 554,142,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,142,368) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(554,142,368) x common factors =2 x 2 = 4

LCM(554,142,368) = ( 554 × 142 × 368 ) / 4

LCM(554,142,368) = 28949824 / 4

LCM(554,142,368) = 7237456


Lets's calculate GCF of 60,47,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7237456/1

Therefore the LCM of Fractions 554/60,142/47,368/921 is 7237456

Greatest Common Factor of 60,47,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,47,921 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 60,47,921 . The biggest common factor number is the GCF number.
So the greatest common factor 60,47,921 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 554/60, 142/47, 368/921

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 554/60, 142/47, 368/921?

Answer: LCM of Numerators as per given numbers 554/60, 142/47, 368/921 is

LCM of Numerators i.e. for 554,142,368 is 7237456

GCF of denominators i.e. for 60,47,921 is 1.

Thus, LCM of Fractions is 7237456.Finally, LCM of Fractions for 554/60, 142/47, 368/921 is 7237456.