Least Common Multiple of 74/260, 94/213, 488/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/260, 94/213, 488/154 quickly i.e. 848632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/260, 94/213, 488/154 is 848632.

LCM(74/260, 94/213, 488/154) = 848632

LCM of 74/260, 94/213, 488/154

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 74/260,94/213,488/154

Given numbers are 74/260,94/213,488/154

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 74,94,488

Least Common Multiple of Numerators i.e. LCM of 74,94,488 is 848632.

GCF of Denominators means GCF of 260,213,154 as per the given fractions.

GCF of 260,213,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,94,488

LCM of Fractions 74/260,94/213,488/154 is 848632

2 74, 94, 488
37, 47, 244

∴ So the LCM of the given numbers is 2 x 37 x 47 x 244 = 848632

Least Common Multiple of 74,94,488 with GCF Formula

Least Common Multiple of 74,94,488 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 74,94,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,94,488) = 2

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

GCF(74,94,488) x common factors =2 x 2 = 4

LCM(74,94,488) = ( 74 × 94 × 488 ) / 4

LCM(74,94,488) = 3394528 / 4

LCM(74,94,488) = 848632


Lets's calculate GCF of 260,213,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 848632/1

Therefore the LCM of Fractions 74/260,94/213,488/154 is 848632

Greatest Common Factor of 260,213,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,213,154 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 260,213,154 . The biggest common factor number is the GCF number.
So the greatest common factor 260,213,154 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 74/260, 94/213, 488/154

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 74/260, 94/213, 488/154?

Answer: LCM of Numerators as per given numbers 74/260, 94/213, 488/154 is

LCM of Numerators i.e. for 74,94,488 is 848632

GCF of denominators i.e. for 260,213,154 is 1.

Thus, LCM of Fractions is 848632.Finally, LCM of Fractions for 74/260, 94/213, 488/154 is 848632.