Least Common Multiple of 58/862, 61/612, 799/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/862, 61/612, 799/948 quickly i.e. 1413431 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/862, 61/612, 799/948 is 1413431.

LCM(58/862, 61/612, 799/948) = 1413431

LCM of 58/862, 61/612, 799/948

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 58/862,61/612,799/948

Given numbers are 58/862,61/612,799/948

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 58,61,799

Least Common Multiple of Numerators i.e. LCM of 58,61,799 is 2826862.

GCF of Denominators means GCF of 862,612,948 as per the given fractions.

GCF of 862,612,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,61,799

LCM of Fractions 58/862,61/612,799/948 is 1413431

Given numbers has no common factors except 1. So, there LCM is their product i.e 2826862

Least Common Multiple of 58,61,799 with GCF Formula

Least Common Multiple of 58,61,799 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 58,61,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,61,799) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,61,799) x common factors =1 x 1 = 1

LCM(58,61,799) = ( 58 × 61 × 799 ) / 1

LCM(58,61,799) = 2826862 / 1

LCM(58,61,799) = 2826862


Lets's calculate GCF of 862,612,948

2 862, 612, 948
431, 306, 474

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2826862/2

Therefore the LCM of Fractions 58/862,61/612,799/948 is 1413431

Greatest Common Factor of 862,612,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,612,948 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 862,612,948 . The biggest common factor number is the GCF number.
So the greatest common factor 862,612,948 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 58/862, 61/612, 799/948

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 58/862, 61/612, 799/948?

Answer: LCM of Numerators as per given numbers 58/862, 61/612, 799/948 is

LCM of Numerators i.e. for 58,61,799 is 2826862

GCF of denominators i.e. for 862,612,948 is 2.

Thus, LCM of Fractions is 1413431.Finally, LCM of Fractions for 58/862, 61/612, 799/948 is 1413431.