Least Common Multiple of 61/165, 58/962, 574/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/165, 58/962, 574/505 quickly i.e. 1015406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/165, 58/962, 574/505 is 1015406.

LCM(61/165, 58/962, 574/505) = 1015406

LCM of 61/165, 58/962, 574/505

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 61/165,58/962,574/505

Given numbers are 61/165,58/962,574/505

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 61,58,574

Least Common Multiple of Numerators i.e. LCM of 61,58,574 is 1015406.

GCF of Denominators means GCF of 165,962,505 as per the given fractions.

GCF of 165,962,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,58,574

LCM of Fractions 61/165,58/962,574/505 is 1015406

2 61, 58, 574
61, 29, 287

∴ So the LCM of the given numbers is 2 x 61 x 29 x 287 = 1015406

Least Common Multiple of 61,58,574 with GCF Formula

Least Common Multiple of 61,58,574 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 61,58,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,58,574) = 1

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

GCF(61,58,574) x common factors =1 x 2 = 2

LCM(61,58,574) = ( 61 × 58 × 574 ) / 2

LCM(61,58,574) = 2030812 / 2

LCM(61,58,574) = 1015406


Lets's calculate GCF of 165,962,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015406/1

Therefore the LCM of Fractions 61/165,58/962,574/505 is 1015406

Greatest Common Factor of 165,962,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,962,505 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 165,962,505 . The biggest common factor number is the GCF number.
So the greatest common factor 165,962,505 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 61/165, 58/962, 574/505

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 61/165, 58/962, 574/505?

Answer: LCM of Numerators as per given numbers 61/165, 58/962, 574/505 is

LCM of Numerators i.e. for 61,58,574 is 1015406

GCF of denominators i.e. for 165,962,505 is 1.

Thus, LCM of Fractions is 1015406.Finally, LCM of Fractions for 61/165, 58/962, 574/505 is 1015406.