Least Common Multiple of 61/973, 509/115, 477/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/973, 509/115, 477/420 quickly i.e. 14810373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/973, 509/115, 477/420 is 14810373.

LCM(61/973, 509/115, 477/420) = 14810373

LCM of 61/973, 509/115, 477/420

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 61/973,509/115,477/420

Given numbers are 61/973,509/115,477/420

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 61,509,477

Least Common Multiple of Numerators i.e. LCM of 61,509,477 is 14810373.

GCF of Denominators means GCF of 973,115,420 as per the given fractions.

GCF of 973,115,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,509,477

LCM of Fractions 61/973,509/115,477/420 is 14810373

Given numbers has no common factors except 1. So, there LCM is their product i.e 14810373

Least Common Multiple of 61,509,477 with GCF Formula

Least Common Multiple of 61,509,477 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 61,509,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,509,477) = 1

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

GCF(61,509,477) x common factors =1 x 1 = 1

LCM(61,509,477) = ( 61 × 509 × 477 ) / 1

LCM(61,509,477) = 14810373 / 1

LCM(61,509,477) = 14810373


Lets's calculate GCF of 973,115,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14810373/1

Therefore the LCM of Fractions 61/973,509/115,477/420 is 14810373

Greatest Common Factor of 973,115,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,115,420 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 973,115,420 . The biggest common factor number is the GCF number.
So the greatest common factor 973,115,420 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 61/973, 509/115, 477/420

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 61/973, 509/115, 477/420?

Answer: LCM of Numerators as per given numbers 61/973, 509/115, 477/420 is

LCM of Numerators i.e. for 61,509,477 is 14810373

GCF of denominators i.e. for 973,115,420 is 1.

Thus, LCM of Fractions is 14810373.Finally, LCM of Fractions for 61/973, 509/115, 477/420 is 14810373.