Least Common Multiple of 61/490, 54/360, 145/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/490, 54/360, 145/435 quickly i.e. 95526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/490, 54/360, 145/435 is 95526.

LCM(61/490, 54/360, 145/435) = 95526

LCM of 61/490, 54/360, 145/435

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 61/490,54/360,145/435

Given numbers are 61/490,54/360,145/435

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 61,54,145

Least Common Multiple of Numerators i.e. LCM of 61,54,145 is 477630.

GCF of Denominators means GCF of 490,360,435 as per the given fractions.

GCF of 490,360,435 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,54,145

LCM of Fractions 61/490,54/360,145/435 is 95526

Given numbers has no common factors except 1. So, there LCM is their product i.e 477630

Least Common Multiple of 61,54,145 with GCF Formula

Least Common Multiple of 61,54,145 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 61,54,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,54,145) = 1

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

GCF(61,54,145) x common factors =1 x 1 = 1

LCM(61,54,145) = ( 61 × 54 × 145 ) / 1

LCM(61,54,145) = 477630 / 1

LCM(61,54,145) = 477630


Lets's calculate GCF of 490,360,435

5 490, 360, 435
98, 72, 87

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477630/5

Therefore the LCM of Fractions 61/490,54/360,145/435 is 95526

Greatest Common Factor of 490,360,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,360,435 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 490,360,435 . The biggest common factor number is the GCF number.
So the greatest common factor 490,360,435 is 5.


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 61/490, 54/360, 145/435

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 61/490, 54/360, 145/435?

Answer: LCM of Numerators as per given numbers 61/490, 54/360, 145/435 is

LCM of Numerators i.e. for 61,54,145 is 477630

GCF of denominators i.e. for 490,360,435 is 5.

Thus, LCM of Fractions is 95526.Finally, LCM of Fractions for 61/490, 54/360, 145/435 is 95526.