Least Common Multiple of 58/701, 684/503, 788/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/701, 684/503, 788/292 quickly i.e. 3907692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/701, 684/503, 788/292 is 3907692.

LCM(58/701, 684/503, 788/292) = 3907692

LCM of 58/701, 684/503, 788/292

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 58/701,684/503,788/292

Given numbers are 58/701,684/503,788/292

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 58,684,788

Least Common Multiple of Numerators i.e. LCM of 58,684,788 is 3907692.

GCF of Denominators means GCF of 701,503,292 as per the given fractions.

GCF of 701,503,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,684,788

LCM of Fractions 58/701,684/503,788/292 is 3907692

2 58, 684, 788
2 29, 342, 394
29, 171, 197

∴ So the LCM of the given numbers is 2 x 2 x 29 x 171 x 197 = 3907692

Least Common Multiple of 58,684,788 with GCF Formula

Least Common Multiple of 58,684,788 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 58,684,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,684,788) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,684,788) x common factors =2 x 4 = 8

LCM(58,684,788) = ( 58 × 684 × 788 ) / 8

LCM(58,684,788) = 31261536 / 8

LCM(58,684,788) = 3907692


Lets's calculate GCF of 701,503,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3907692/1

Therefore the LCM of Fractions 58/701,684/503,788/292 is 3907692

Greatest Common Factor of 701,503,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,503,292 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 701,503,292 . The biggest common factor number is the GCF number.
So the greatest common factor 701,503,292 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 58/701, 684/503, 788/292

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 58/701, 684/503, 788/292?

Answer: LCM of Numerators as per given numbers 58/701, 684/503, 788/292 is

LCM of Numerators i.e. for 58,684,788 is 3907692

GCF of denominators i.e. for 701,503,292 is 1.

Thus, LCM of Fractions is 3907692.Finally, LCM of Fractions for 58/701, 684/503, 788/292 is 3907692.