Least Common Multiple of 55/190, 12/705, 770/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/190, 12/705, 770/732 quickly i.e. 4620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/190, 12/705, 770/732 is 4620.

LCM(55/190, 12/705, 770/732) = 4620

LCM of 55/190, 12/705, 770/732

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 55/190,12/705,770/732

Given numbers are 55/190,12/705,770/732

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 55,12,770

Least Common Multiple of Numerators i.e. LCM of 55,12,770 is 4620.

GCF of Denominators means GCF of 190,705,732 as per the given fractions.

GCF of 190,705,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,12,770

LCM of Fractions 55/190,12/705,770/732 is 4620

2 55, 12, 770
5 55, 6, 385
11 11, 6, 77
1, 6, 7

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 6 x 7 = 4620

Least Common Multiple of 55,12,770 with GCF Formula

Least Common Multiple of 55,12,770 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 55,12,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,12,770) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(55,12,770) x common factors =1 x 110 = 110

LCM(55,12,770) = ( 55 × 12 × 770 ) / 110

LCM(55,12,770) = 508200 / 110

LCM(55,12,770) = 4620


Lets's calculate GCF of 190,705,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/1

Therefore the LCM of Fractions 55/190,12/705,770/732 is 4620

Greatest Common Factor of 190,705,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,705,732 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 190,705,732 . The biggest common factor number is the GCF number.
So the greatest common factor 190,705,732 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/190, 12/705, 770/732

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 55/190, 12/705, 770/732?

Answer: LCM of Numerators as per given numbers 55/190, 12/705, 770/732 is

LCM of Numerators i.e. for 55,12,770 is 4620

GCF of denominators i.e. for 190,705,732 is 1.

Thus, LCM of Fractions is 4620.Finally, LCM of Fractions for 55/190, 12/705, 770/732 is 4620.