Least Common Multiple of 55/277, 62/176, 920/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/277, 62/176, 920/659 quickly i.e. 313720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/277, 62/176, 920/659 is 313720.

LCM(55/277, 62/176, 920/659) = 313720

LCM of 55/277, 62/176, 920/659

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 55/277,62/176,920/659

Given numbers are 55/277,62/176,920/659

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 55,62,920

Least Common Multiple of Numerators i.e. LCM of 55,62,920 is 313720.

GCF of Denominators means GCF of 277,176,659 as per the given fractions.

GCF of 277,176,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,62,920

LCM of Fractions 55/277,62/176,920/659 is 313720

2 55, 62, 920
5 55, 31, 460
11, 31, 92

∴ So the LCM of the given numbers is 2 x 5 x 11 x 31 x 92 = 313720

Least Common Multiple of 55,62,920 with GCF Formula

Least Common Multiple of 55,62,920 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 55,62,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,62,920) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(55,62,920) x common factors =1 x 10 = 10

LCM(55,62,920) = ( 55 × 62 × 920 ) / 10

LCM(55,62,920) = 3137200 / 10

LCM(55,62,920) = 313720


Lets's calculate GCF of 277,176,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313720/1

Therefore the LCM of Fractions 55/277,62/176,920/659 is 313720

Greatest Common Factor of 277,176,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,176,659 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 277,176,659 . The biggest common factor number is the GCF number.
So the greatest common factor 277,176,659 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 55/277, 62/176, 920/659

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 55/277, 62/176, 920/659?

Answer: LCM of Numerators as per given numbers 55/277, 62/176, 920/659 is

LCM of Numerators i.e. for 55,62,920 is 313720

GCF of denominators i.e. for 277,176,659 is 1.

Thus, LCM of Fractions is 313720.Finally, LCM of Fractions for 55/277, 62/176, 920/659 is 313720.