Least Common Multiple of 8757/753, 8470/6034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8757/753, 8470/6034 quickly i.e. 10595970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8757/753, 8470/6034 is 10595970.

LCM(8757/753, 8470/6034) = 10595970

LCM of 8757/753, 8470/6034

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 8757/753,8470/6034

Given numbers are 8757/753,8470/6034

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 8757,8470

Least Common Multiple of Numerators i.e. LCM of 8757,8470 is 10595970.

GCF of Denominators means GCF of 753,6034 as per the given fractions.

GCF of 753,6034 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8757,8470

LCM of Fractions 8757/753,8470/6034 is 10595970

7 8757, 8470
1251, 1210

∴ So the LCM of the given numbers is 7 x 1251 x 1210 = 10595970

Least Common Multiple of 8757,8470 with GCF Formula

Least Common Multiple of 8757,8470 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 8757,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8757,8470) = 7

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

GCF(8757,8470) x common factors =7 x 1 = 7

LCM(8757,8470) = ( 8757 × 8470 ) / 7

LCM(8757,8470) = 74171790 / 7

LCM(8757,8470) = 10595970


Lets's calculate GCF of 753,6034

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10595970/1

Therefore the LCM of Fractions 8757/753,8470/6034 is 10595970

Greatest Common Factor of 753,6034 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,6034 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 6034

List of positive integer factors of 6034 that divides 6034 without a remainder.

1,2,7,14,431,862,3017,6034

Greatest Common Factor

We found the factors 753,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 753,6034 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8757/753, 8470/6034

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 8757/753, 8470/6034?

Answer: LCM of Numerators as per given numbers 8757/753, 8470/6034 is

LCM of Numerators i.e. for 8757,8470 is 10595970

GCF of denominators i.e. for 753,6034 is 1.

Thus, LCM of Fractions is 10595970.Finally, LCM of Fractions for 8757/753, 8470/6034 is 10595970.