Least Common Multiple of 702/684, 8425/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 702/684, 8425/399 quickly i.e. 5914350/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/684, 8425/399 is 5914350/57.

LCM(702/684, 8425/399) = 5914350/57

LCM of 702/684, 8425/399

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 702/684,8425/399

Given numbers are 702/684,8425/399

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 702,8425

Least Common Multiple of Numerators i.e. LCM of 702,8425 is 5914350.

GCF of Denominators means GCF of 684,399 as per the given fractions.

GCF of 684,399 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,8425

LCM of Fractions 702/684,8425/399 is 5914350/57

Given numbers has no common factors except 1. So, there LCM is their product i.e 5914350

Least Common Multiple of 702,8425 with GCF Formula

Least Common Multiple of 702,8425 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 702,8425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,8425) = 1

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

GCF(702,8425) x common factors =1 x 1 = 1

LCM(702,8425) = ( 702 × 8425 ) / 1

LCM(702,8425) = 5914350 / 1

LCM(702,8425) = 5914350


Lets's calculate GCF of 684,399

3 684, 399
19 228, 133
12, 7

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5914350/57

Therefore the LCM of Fractions 702/684,8425/399 is 5914350/57

Greatest Common Factor of 684,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,399 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 684,399 . The biggest common factor number is the GCF number.
So the greatest common factor 684,399 is 57.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 702/684, 8425/399

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 702/684, 8425/399?

Answer: LCM of Numerators as per given numbers 702/684, 8425/399 is

LCM of Numerators i.e. for 702,8425 is 5914350

GCF of denominators i.e. for 684,399 is 57.

Thus, LCM of Fractions is 5914350/57.Finally, LCM of Fractions for 702/684, 8425/399 is 5914350/57.