Least Common Multiple of 62/468, 940/752, 410/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/468, 940/752, 410/585 quickly i.e. 1194740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/468, 940/752, 410/585 is 1194740.

LCM(62/468, 940/752, 410/585) = 1194740

LCM of 62/468, 940/752, 410/585

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 62/468,940/752,410/585

Given numbers are 62/468,940/752,410/585

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 62,940,410

Least Common Multiple of Numerators i.e. LCM of 62,940,410 is 1194740.

GCF of Denominators means GCF of 468,752,585 as per the given fractions.

GCF of 468,752,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,940,410

LCM of Fractions 62/468,940/752,410/585 is 1194740

2 62, 940, 410
5 31, 470, 205
31, 94, 41

∴ So the LCM of the given numbers is 2 x 5 x 31 x 94 x 41 = 1194740

Least Common Multiple of 62,940,410 with GCF Formula

Least Common Multiple of 62,940,410 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 62,940,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,940,410) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(62,940,410) x common factors =2 x 10 = 20

LCM(62,940,410) = ( 62 × 940 × 410 ) / 20

LCM(62,940,410) = 23894800 / 20

LCM(62,940,410) = 1194740


Lets's calculate GCF of 468,752,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1194740/1

Therefore the LCM of Fractions 62/468,940/752,410/585 is 1194740

Greatest Common Factor of 468,752,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,752,585 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 468,752,585 . The biggest common factor number is the GCF number.
So the greatest common factor 468,752,585 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/468, 940/752, 410/585

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 62/468, 940/752, 410/585?

Answer: LCM of Numerators as per given numbers 62/468, 940/752, 410/585 is

LCM of Numerators i.e. for 62,940,410 is 1194740

GCF of denominators i.e. for 468,752,585 is 1.

Thus, LCM of Fractions is 1194740.Finally, LCM of Fractions for 62/468, 940/752, 410/585 is 1194740.