Least Common Multiple of 9830/702, 7153/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9830/702, 7153/468 quickly i.e. 70313990/234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9830/702, 7153/468 is 70313990/234.

LCM(9830/702, 7153/468) = 70313990/234

LCM of 9830/702, 7153/468

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 9830/702,7153/468

Given numbers are 9830/702,7153/468

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 9830,7153

Least Common Multiple of Numerators i.e. LCM of 9830,7153 is 70313990.

GCF of Denominators means GCF of 702,468 as per the given fractions.

GCF of 702,468 is 234 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9830,7153

LCM of Fractions 9830/702,7153/468 is 70313990/234

Given numbers has no common factors except 1. So, there LCM is their product i.e 70313990

Least Common Multiple of 9830,7153 with GCF Formula

Least Common Multiple of 9830,7153 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 9830,7153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9830,7153) = 1

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

GCF(9830,7153) x common factors =1 x 1 = 1

LCM(9830,7153) = ( 9830 × 7153 ) / 1

LCM(9830,7153) = 70313990 / 1

LCM(9830,7153) = 70313990


Lets's calculate GCF of 702,468

2 702, 468
3 351, 234
3 117, 78
13 39, 26
3, 2

∴ So the GCF of the given numbers is 2 x 3 x 3 x 13 = 234

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70313990/234

Therefore the LCM of Fractions 9830/702,7153/468 is 70313990/234

Greatest Common Factor of 702,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,468 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 702,468 . The biggest common factor number is the GCF number.
So the greatest common factor 702,468 is 234.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9830/702, 7153/468

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 9830/702, 7153/468?

Answer: LCM of Numerators as per given numbers 9830/702, 7153/468 is

LCM of Numerators i.e. for 9830,7153 is 70313990

GCF of denominators i.e. for 702,468 is 234.

Thus, LCM of Fractions is 70313990/234.Finally, LCM of Fractions for 9830/702, 7153/468 is 70313990/234.