Least Common Multiple of 7620/475, 5296/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7620/475, 5296/699 quickly i.e. 10088880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7620/475, 5296/699 is 10088880.

LCM(7620/475, 5296/699) = 10088880

LCM of 7620/475, 5296/699

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 7620/475,5296/699

Given numbers are 7620/475,5296/699

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 7620,5296

Least Common Multiple of Numerators i.e. LCM of 7620,5296 is 10088880.

GCF of Denominators means GCF of 475,699 as per the given fractions.

GCF of 475,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7620,5296

LCM of Fractions 7620/475,5296/699 is 10088880

2 7620, 5296
2 3810, 2648
1905, 1324

∴ So the LCM of the given numbers is 2 x 2 x 1905 x 1324 = 10088880

Least Common Multiple of 7620,5296 with GCF Formula

Least Common Multiple of 7620,5296 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 7620,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7620,5296) = 4

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

GCF(7620,5296) x common factors =4 x 1 = 4

LCM(7620,5296) = ( 7620 × 5296 ) / 4

LCM(7620,5296) = 40355520 / 4

LCM(7620,5296) = 10088880


Lets's calculate GCF of 475,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10088880/1

Therefore the LCM of Fractions 7620/475,5296/699 is 10088880

Greatest Common Factor of 475,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,699 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 475,699 . The biggest common factor number is the GCF number.
So the greatest common factor 475,699 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7620/475, 5296/699

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 7620/475, 5296/699?

Answer: LCM of Numerators as per given numbers 7620/475, 5296/699 is

LCM of Numerators i.e. for 7620,5296 is 10088880

GCF of denominators i.e. for 475,699 is 1.

Thus, LCM of Fractions is 10088880.Finally, LCM of Fractions for 7620/475, 5296/699 is 10088880.