Least Common Multiple of 77/603, 52/770, 968/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/603, 52/770, 968/709 quickly i.e. 88088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/603, 52/770, 968/709 is 88088.

LCM(77/603, 52/770, 968/709) = 88088

LCM of 77/603, 52/770, 968/709

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 77/603,52/770,968/709

Given numbers are 77/603,52/770,968/709

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 77,52,968

Least Common Multiple of Numerators i.e. LCM of 77,52,968 is 88088.

GCF of Denominators means GCF of 603,770,709 as per the given fractions.

GCF of 603,770,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,52,968

LCM of Fractions 77/603,52/770,968/709 is 88088

2 77, 52, 968
2 77, 26, 484
11 77, 13, 242
7, 13, 22

∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 13 x 22 = 88088

Least Common Multiple of 77,52,968 with GCF Formula

Least Common Multiple of 77,52,968 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 77,52,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,52,968) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(77,52,968) x common factors =1 x 44 = 44

LCM(77,52,968) = ( 77 × 52 × 968 ) / 44

LCM(77,52,968) = 3875872 / 44

LCM(77,52,968) = 88088


Lets's calculate GCF of 603,770,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88088/1

Therefore the LCM of Fractions 77/603,52/770,968/709 is 88088

Greatest Common Factor of 603,770,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,770,709 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 603,770,709 . The biggest common factor number is the GCF number.
So the greatest common factor 603,770,709 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/603, 52/770, 968/709

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 77/603, 52/770, 968/709?

Answer: LCM of Numerators as per given numbers 77/603, 52/770, 968/709 is

LCM of Numerators i.e. for 77,52,968 is 88088

GCF of denominators i.e. for 603,770,709 is 1.

Thus, LCM of Fractions is 88088.Finally, LCM of Fractions for 77/603, 52/770, 968/709 is 88088.