Least Common Multiple of 620/752, 9792/5175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 620/752, 9792/5175 quickly i.e. 1517760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 620/752, 9792/5175 is 1517760.

LCM(620/752, 9792/5175) = 1517760

LCM of 620/752, 9792/5175

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 620/752,9792/5175

Given numbers are 620/752,9792/5175

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 620,9792

Least Common Multiple of Numerators i.e. LCM of 620,9792 is 1517760.

GCF of Denominators means GCF of 752,5175 as per the given fractions.

GCF of 752,5175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 620,9792

LCM of Fractions 620/752,9792/5175 is 1517760

2 620, 9792
2 310, 4896
155, 2448

∴ So the LCM of the given numbers is 2 x 2 x 155 x 2448 = 1517760

Least Common Multiple of 620,9792 with GCF Formula

Least Common Multiple of 620,9792 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 620,9792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,9792) = 4

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

GCF(620,9792) x common factors =4 x 1 = 4

LCM(620,9792) = ( 620 × 9792 ) / 4

LCM(620,9792) = 6071040 / 4

LCM(620,9792) = 1517760


Lets's calculate GCF of 752,5175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1517760/1

Therefore the LCM of Fractions 620/752,9792/5175 is 1517760

Greatest Common Factor of 752,5175 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,5175 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175

Greatest Common Factor

We found the factors 752,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 752,5175 is 1.


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 620/752, 9792/5175

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 620/752, 9792/5175?

Answer: LCM of Numerators as per given numbers 620/752, 9792/5175 is

LCM of Numerators i.e. for 620,9792 is 1517760

GCF of denominators i.e. for 752,5175 is 1.

Thus, LCM of Fractions is 1517760.Finally, LCM of Fractions for 620/752, 9792/5175 is 1517760.