Least Common Multiple of 602/77, 633/5614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 602/77, 633/5614 quickly i.e. 54438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 602/77, 633/5614 is 54438.

LCM(602/77, 633/5614) = 54438

LCM of 602/77, 633/5614

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 602/77,633/5614

Given numbers are 602/77,633/5614

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 602,633

Least Common Multiple of Numerators i.e. LCM of 602,633 is 381066.

GCF of Denominators means GCF of 77,5614 as per the given fractions.

GCF of 77,5614 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 602,633

LCM of Fractions 602/77,633/5614 is 54438

Given numbers has no common factors except 1. So, there LCM is their product i.e 381066

Least Common Multiple of 602,633 with GCF Formula

Least Common Multiple of 602,633 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 602,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,633) = 1

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

GCF(602,633) x common factors =1 x 1 = 1

LCM(602,633) = ( 602 × 633 ) / 1

LCM(602,633) = 381066 / 1

LCM(602,633) = 381066


Lets's calculate GCF of 77,5614

7 77, 5614
11, 802

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381066/7

Therefore the LCM of Fractions 602/77,633/5614 is 54438

Greatest Common Factor of 77,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,5614 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 77,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5614 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 602/77, 633/5614

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 602/77, 633/5614?

Answer: LCM of Numerators as per given numbers 602/77, 633/5614 is

LCM of Numerators i.e. for 602,633 is 381066

GCF of denominators i.e. for 77,5614 is 7.

Thus, LCM of Fractions is 54438.Finally, LCM of Fractions for 602/77, 633/5614 is 54438.