Least Common Multiple of 48/67, 562/25, 503/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/67, 562/25, 503/698 quickly i.e. 6784464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/67, 562/25, 503/698 is 6784464.

LCM(48/67, 562/25, 503/698) = 6784464

LCM of 48/67, 562/25, 503/698

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 48/67,562/25,503/698

Given numbers are 48/67,562/25,503/698

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 48,562,503

Least Common Multiple of Numerators i.e. LCM of 48,562,503 is 6784464.

GCF of Denominators means GCF of 67,25,698 as per the given fractions.

GCF of 67,25,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,562,503

LCM of Fractions 48/67,562/25,503/698 is 6784464

2 48, 562, 503
24, 281, 503

∴ So the LCM of the given numbers is 2 x 24 x 281 x 503 = 6784464

Least Common Multiple of 48,562,503 with GCF Formula

Least Common Multiple of 48,562,503 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 48,562,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,562,503) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,562,503) x common factors =1 x 2 = 2

LCM(48,562,503) = ( 48 × 562 × 503 ) / 2

LCM(48,562,503) = 13568928 / 2

LCM(48,562,503) = 6784464


Lets's calculate GCF of 67,25,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6784464/1

Therefore the LCM of Fractions 48/67,562/25,503/698 is 6784464

Greatest Common Factor of 67,25,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,25,698 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 698

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

1,2,349,698

Greatest Common Factor

We found the factors 67,25,698 . The biggest common factor number is the GCF number.
So the greatest common factor 67,25,698 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 48/67, 562/25, 503/698

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 48/67, 562/25, 503/698?

Answer: LCM of Numerators as per given numbers 48/67, 562/25, 503/698 is

LCM of Numerators i.e. for 48,562,503 is 6784464

GCF of denominators i.e. for 67,25,698 is 1.

Thus, LCM of Fractions is 6784464.Finally, LCM of Fractions for 48/67, 562/25, 503/698 is 6784464.