Least Common Multiple of 74/77, 633/59, 608/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/77, 633/59, 608/762 quickly i.e. 14239968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/77, 633/59, 608/762 is 14239968.

LCM(74/77, 633/59, 608/762) = 14239968

LCM of 74/77, 633/59, 608/762

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 74/77,633/59,608/762

Given numbers are 74/77,633/59,608/762

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 74,633,608

Least Common Multiple of Numerators i.e. LCM of 74,633,608 is 14239968.

GCF of Denominators means GCF of 77,59,762 as per the given fractions.

GCF of 77,59,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,633,608

LCM of Fractions 74/77,633/59,608/762 is 14239968

2 74, 633, 608
37, 633, 304

∴ So the LCM of the given numbers is 2 x 37 x 633 x 304 = 14239968

Least Common Multiple of 74,633,608 with GCF Formula

Least Common Multiple of 74,633,608 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 74,633,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,633,608) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,633,608) x common factors =1 x 2 = 2

LCM(74,633,608) = ( 74 × 633 × 608 ) / 2

LCM(74,633,608) = 28479936 / 2

LCM(74,633,608) = 14239968


Lets's calculate GCF of 77,59,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14239968/1

Therefore the LCM of Fractions 74/77,633/59,608/762 is 14239968

Greatest Common Factor of 77,59,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,59,762 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 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 77,59,762 . The biggest common factor number is the GCF number.
So the greatest common factor 77,59,762 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 74/77, 633/59, 608/762

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 74/77, 633/59, 608/762?

Answer: LCM of Numerators as per given numbers 74/77, 633/59, 608/762 is

LCM of Numerators i.e. for 74,633,608 is 14239968

GCF of denominators i.e. for 77,59,762 is 1.

Thus, LCM of Fractions is 14239968.Finally, LCM of Fractions for 74/77, 633/59, 608/762 is 14239968.