Least Common Multiple of 620/74, 718/41, 762/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 620/74, 718/41, 762/804 quickly i.e. 84802980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 620/74, 718/41, 762/804 is 84802980.

LCM(620/74, 718/41, 762/804) = 84802980

LCM of 620/74, 718/41, 762/804

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 620/74,718/41,762/804

Given numbers are 620/74,718/41,762/804

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 620,718,762

Least Common Multiple of Numerators i.e. LCM of 620,718,762 is 84802980.

GCF of Denominators means GCF of 74,41,804 as per the given fractions.

GCF of 74,41,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 620,718,762

LCM of Fractions 620/74,718/41,762/804 is 84802980

2 620, 718, 762
310, 359, 381

∴ So the LCM of the given numbers is 2 x 310 x 359 x 381 = 84802980

Least Common Multiple of 620,718,762 with GCF Formula

Least Common Multiple of 620,718,762 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 620,718,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,718,762) = 2

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

GCF(620,718,762) x common factors =2 x 2 = 4

LCM(620,718,762) = ( 620 × 718 × 762 ) / 4

LCM(620,718,762) = 339211920 / 4

LCM(620,718,762) = 84802980


Lets's calculate GCF of 74,41,804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84802980/1

Therefore the LCM of Fractions 620/74,718/41,762/804 is 84802980

Greatest Common Factor of 74,41,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,41,804 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 74,41,804 . The biggest common factor number is the GCF number.
So the greatest common factor 74,41,804 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 620/74, 718/41, 762/804

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 620/74, 718/41, 762/804?

Answer: LCM of Numerators as per given numbers 620/74, 718/41, 762/804 is

LCM of Numerators i.e. for 620,718,762 is 84802980

GCF of denominators i.e. for 74,41,804 is 1.

Thus, LCM of Fractions is 84802980.Finally, LCM of Fractions for 620/74, 718/41, 762/804 is 84802980.