Least Common Multiple of 55/50, 508/14, 431/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/50, 508/14, 431/648 quickly i.e. 6021070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/50, 508/14, 431/648 is 6021070.

LCM(55/50, 508/14, 431/648) = 6021070

LCM of 55/50, 508/14, 431/648

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 55/50,508/14,431/648

Given numbers are 55/50,508/14,431/648

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 55,508,431

Least Common Multiple of Numerators i.e. LCM of 55,508,431 is 12042140.

GCF of Denominators means GCF of 50,14,648 as per the given fractions.

GCF of 50,14,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,508,431

LCM of Fractions 55/50,508/14,431/648 is 6021070

Given numbers has no common factors except 1. So, there LCM is their product i.e 12042140

Least Common Multiple of 55,508,431 with GCF Formula

Least Common Multiple of 55,508,431 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 55,508,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,508,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,508,431) x common factors =1 x 1 = 1

LCM(55,508,431) = ( 55 × 508 × 431 ) / 1

LCM(55,508,431) = 12042140 / 1

LCM(55,508,431) = 12042140


Lets's calculate GCF of 50,14,648

2 50, 14, 648
25, 7, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12042140/2

Therefore the LCM of Fractions 55/50,508/14,431/648 is 6021070

Greatest Common Factor of 50,14,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,14,648 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 50,14,648 . The biggest common factor number is the GCF number.
So the greatest common factor 50,14,648 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/50, 508/14, 431/648

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 55/50, 508/14, 431/648?

Answer: LCM of Numerators as per given numbers 55/50, 508/14, 431/648 is

LCM of Numerators i.e. for 55,508,431 is 12042140

GCF of denominators i.e. for 50,14,648 is 2.

Thus, LCM of Fractions is 6021070.Finally, LCM of Fractions for 55/50, 508/14, 431/648 is 6021070.