Least Common Multiple of 61/693, 85/583, 680/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/693, 85/583, 680/548 quickly i.e. 41480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/693, 85/583, 680/548 is 41480.

LCM(61/693, 85/583, 680/548) = 41480

LCM of 61/693, 85/583, 680/548

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 61/693,85/583,680/548

Given numbers are 61/693,85/583,680/548

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 61,85,680

Least Common Multiple of Numerators i.e. LCM of 61,85,680 is 41480.

GCF of Denominators means GCF of 693,583,548 as per the given fractions.

GCF of 693,583,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,85,680

LCM of Fractions 61/693,85/583,680/548 is 41480

5 61, 85, 680
17 61, 17, 136
61, 1, 8

∴ So the LCM of the given numbers is 5 x 17 x 61 x 1 x 8 = 41480

Least Common Multiple of 61,85,680 with GCF Formula

Least Common Multiple of 61,85,680 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 61,85,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,85,680) = 1

common factors(in case of two or more numbers have common factors) = 85

GCF(61,85,680) x common factors =1 x 85 = 85

LCM(61,85,680) = ( 61 × 85 × 680 ) / 85

LCM(61,85,680) = 3525800 / 85

LCM(61,85,680) = 41480


Lets's calculate GCF of 693,583,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41480/1

Therefore the LCM of Fractions 61/693,85/583,680/548 is 41480

Greatest Common Factor of 693,583,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,583,548 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 693,583,548 . The biggest common factor number is the GCF number.
So the greatest common factor 693,583,548 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 61/693, 85/583, 680/548

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 61/693, 85/583, 680/548?

Answer: LCM of Numerators as per given numbers 61/693, 85/583, 680/548 is

LCM of Numerators i.e. for 61,85,680 is 41480

GCF of denominators i.e. for 693,583,548 is 1.

Thus, LCM of Fractions is 41480.Finally, LCM of Fractions for 61/693, 85/583, 680/548 is 41480.