Least Common Multiple of 48/55, 70/494, 490/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/55, 70/494, 490/805 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/55, 70/494, 490/805 is 11760.

LCM(48/55, 70/494, 490/805) = 11760

LCM of 48/55, 70/494, 490/805

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 48/55,70/494,490/805

Given numbers are 48/55,70/494,490/805

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 48,70,490

Least Common Multiple of Numerators i.e. LCM of 48,70,490 is 11760.

GCF of Denominators means GCF of 55,494,805 as per the given fractions.

GCF of 55,494,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,70,490

LCM of Fractions 48/55,70/494,490/805 is 11760

2 48, 70, 490
5 24, 35, 245
7 24, 7, 49
24, 1, 7

∴ So the LCM of the given numbers is 2 x 5 x 7 x 24 x 1 x 7 = 11760

Least Common Multiple of 48,70,490 with GCF Formula

Least Common Multiple of 48,70,490 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 48,70,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,70,490) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(48,70,490) x common factors =2 x 70 = 140

LCM(48,70,490) = ( 48 × 70 × 490 ) / 140

LCM(48,70,490) = 1646400 / 140

LCM(48,70,490) = 11760


Lets's calculate GCF of 55,494,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11760/1

Therefore the LCM of Fractions 48/55,70/494,490/805 is 11760

Greatest Common Factor of 55,494,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,494,805 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 55,494,805 . The biggest common factor number is the GCF number.
So the greatest common factor 55,494,805 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 48/55, 70/494, 490/805

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 48/55, 70/494, 490/805?

Answer: LCM of Numerators as per given numbers 48/55, 70/494, 490/805 is

LCM of Numerators i.e. for 48,70,490 is 11760

GCF of denominators i.e. for 55,494,805 is 1.

Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 48/55, 70/494, 490/805 is 11760.