Least Common Multiple of 7288/564, 6154/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7288/564, 6154/508 quickly i.e. 5606294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7288/564, 6154/508 is 5606294.

LCM(7288/564, 6154/508) = 5606294

LCM of 7288/564, 6154/508

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 7288/564,6154/508

Given numbers are 7288/564,6154/508

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 7288,6154

Least Common Multiple of Numerators i.e. LCM of 7288,6154 is 22425176.

GCF of Denominators means GCF of 564,508 as per the given fractions.

GCF of 564,508 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7288,6154

LCM of Fractions 7288/564,6154/508 is 5606294

2 7288, 6154
3644, 3077

∴ So the LCM of the given numbers is 2 x 3644 x 3077 = 22425176

Least Common Multiple of 7288,6154 with GCF Formula

Least Common Multiple of 7288,6154 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 7288,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7288,6154) = 2

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

GCF(7288,6154) x common factors =2 x 1 = 2

LCM(7288,6154) = ( 7288 × 6154 ) / 2

LCM(7288,6154) = 44850352 / 2

LCM(7288,6154) = 22425176


Lets's calculate GCF of 564,508

2 564, 508
2 282, 254
141, 127

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22425176/4

Therefore the LCM of Fractions 7288/564,6154/508 is 5606294

Greatest Common Factor of 564,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,508 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 564,508 . The biggest common factor number is the GCF number.
So the greatest common factor 564,508 is 4.


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 7288/564, 6154/508

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 7288/564, 6154/508?

Answer: LCM of Numerators as per given numbers 7288/564, 6154/508 is

LCM of Numerators i.e. for 7288,6154 is 22425176

GCF of denominators i.e. for 564,508 is 4.

Thus, LCM of Fractions is 5606294.Finally, LCM of Fractions for 7288/564, 6154/508 is 5606294.