Least Common Multiple of 55/74, 83/61, 95/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/74, 83/61, 95/455 quickly i.e. 86735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/74, 83/61, 95/455 is 86735.

LCM(55/74, 83/61, 95/455) = 86735

LCM of 55/74, 83/61, 95/455

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 55/74,83/61,95/455

Given numbers are 55/74,83/61,95/455

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 55,83,95

Least Common Multiple of Numerators i.e. LCM of 55,83,95 is 86735.

GCF of Denominators means GCF of 74,61,455 as per the given fractions.

GCF of 74,61,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,83,95

LCM of Fractions 55/74,83/61,95/455 is 86735

5 55, 83, 95
11, 83, 19

∴ So the LCM of the given numbers is 5 x 11 x 83 x 19 = 86735

Least Common Multiple of 55,83,95 with GCF Formula

Least Common Multiple of 55,83,95 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 55,83,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,83,95) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,83,95) x common factors =1 x 5 = 5

LCM(55,83,95) = ( 55 × 83 × 95 ) / 5

LCM(55,83,95) = 433675 / 5

LCM(55,83,95) = 86735


Lets's calculate GCF of 74,61,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86735/1

Therefore the LCM of Fractions 55/74,83/61,95/455 is 86735

Greatest Common Factor of 74,61,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,61,455 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 74,61,455 . The biggest common factor number is the GCF number.
So the greatest common factor 74,61,455 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 55/74, 83/61, 95/455

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 55/74, 83/61, 95/455?

Answer: LCM of Numerators as per given numbers 55/74, 83/61, 95/455 is

LCM of Numerators i.e. for 55,83,95 is 86735

GCF of denominators i.e. for 74,61,455 is 1.

Thus, LCM of Fractions is 86735.Finally, LCM of Fractions for 55/74, 83/61, 95/455 is 86735.