Least Common Multiple of 49/594, 240/150, 780/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/594, 240/150, 780/110 quickly i.e. 76440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/594, 240/150, 780/110 is 76440.

LCM(49/594, 240/150, 780/110) = 76440

LCM of 49/594, 240/150, 780/110

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 49/594,240/150,780/110

Given numbers are 49/594,240/150,780/110

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 49,240,780

Least Common Multiple of Numerators i.e. LCM of 49,240,780 is 152880.

GCF of Denominators means GCF of 594,150,110 as per the given fractions.

GCF of 594,150,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,240,780

LCM of Fractions 49/594,240/150,780/110 is 76440

2 49, 240, 780
2 49, 120, 390
3 49, 60, 195
5 49, 20, 65
49, 4, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 49 x 4 x 13 = 152880

Least Common Multiple of 49,240,780 with GCF Formula

Least Common Multiple of 49,240,780 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 49,240,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,240,780) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(49,240,780) x common factors =1 x 60 = 60

LCM(49,240,780) = ( 49 × 240 × 780 ) / 60

LCM(49,240,780) = 9172800 / 60

LCM(49,240,780) = 152880


Lets's calculate GCF of 594,150,110

2 594, 150, 110
297, 75, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152880/2

Therefore the LCM of Fractions 49/594,240/150,780/110 is 76440

Greatest Common Factor of 594,150,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,150,110 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 594,150,110 . The biggest common factor number is the GCF number.
So the greatest common factor 594,150,110 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 49/594, 240/150, 780/110

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 49/594, 240/150, 780/110?

Answer: LCM of Numerators as per given numbers 49/594, 240/150, 780/110 is

LCM of Numerators i.e. for 49,240,780 is 152880

GCF of denominators i.e. for 594,150,110 is 2.

Thus, LCM of Fractions is 76440.Finally, LCM of Fractions for 49/594, 240/150, 780/110 is 76440.