Least Common Multiple of 55/448, 355/698, 887/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/448, 355/698, 887/162 quickly i.e. 3463735/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/448, 355/698, 887/162 is 3463735/2.

LCM(55/448, 355/698, 887/162) = 3463735/2

LCM of 55/448, 355/698, 887/162

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 55/448,355/698,887/162

Given numbers are 55/448,355/698,887/162

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 55,355,887

Least Common Multiple of Numerators i.e. LCM of 55,355,887 is 3463735.

GCF of Denominators means GCF of 448,698,162 as per the given fractions.

GCF of 448,698,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,355,887

LCM of Fractions 55/448,355/698,887/162 is 3463735/2

5 55, 355, 887
11, 71, 887

∴ So the LCM of the given numbers is 5 x 11 x 71 x 887 = 3463735

Least Common Multiple of 55,355,887 with GCF Formula

Least Common Multiple of 55,355,887 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 55,355,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,355,887) = 1

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

GCF(55,355,887) x common factors =1 x 5 = 5

LCM(55,355,887) = ( 55 × 355 × 887 ) / 5

LCM(55,355,887) = 17318675 / 5

LCM(55,355,887) = 3463735


Lets's calculate GCF of 448,698,162

2 448, 698, 162
224, 349, 81

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3463735/2

Therefore the LCM of Fractions 55/448,355/698,887/162 is 3463735/2

Greatest Common Factor of 448,698,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,698,162 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 448,698,162 . The biggest common factor number is the GCF number.
So the greatest common factor 448,698,162 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/448, 355/698, 887/162

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 55/448, 355/698, 887/162?

Answer: LCM of Numerators as per given numbers 55/448, 355/698, 887/162 is

LCM of Numerators i.e. for 55,355,887 is 3463735

GCF of denominators i.e. for 448,698,162 is 2.

Thus, LCM of Fractions is 3463735/2.Finally, LCM of Fractions for 55/448, 355/698, 887/162 is 3463735/2.