Least Common Multiple of 77/44, 58/40, 17/58, 34/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/44, 58/40, 17/58, 34/858 quickly i.e. 37961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/44, 58/40, 17/58, 34/858 is 37961.

LCM(77/44, 58/40, 17/58, 34/858) = 37961

LCM of 77/44, 58/40, 17/58, 34/858

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 77/44,58/40,17/58,34/858

Given numbers are 77/44,58/40,17/58,34/858

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 77,58,17,34

Least Common Multiple of Numerators i.e. LCM of 77,58,17,34 is 75922.

GCF of Denominators means GCF of 44,40,58,858 as per the given fractions.

GCF of 44,40,58,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,58,17,34

LCM of Fractions 77/44,58/40,17/58,34/858 is 37961

2 77, 58, 17, 34
17 77, 29, 17, 17
77, 29, 1, 1

∴ So the LCM of the given numbers is 2 x 17 x 77 x 29 x 1 x 1 = 75922

Least Common Multiple of 77,58,17,34 with GCF Formula

Least Common Multiple of 77,58,17,34 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 77,58,17,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,58,17,34) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(77,58,17,34) x common factors =1 x 34 = 34

LCM(77,58,17,34) = ( 77 × 58 × 17 × 34 ) / 34

LCM(77,58,17,34) = 2581348 / 34

LCM(77,58,17,34) = 75922


Lets's calculate GCF of 44,40,58,858

2 44, 40, 58, 858
22, 20, 29, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75922/2

Therefore the LCM of Fractions 77/44,58/40,17/58,34/858 is 37961

Greatest Common Factor of 44,40,58,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,40,58,858 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 44,40,58,858 . The biggest common factor number is the GCF number.
So the greatest common factor 44,40,58,858 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 77/44, 58/40, 17/58, 34/858

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 77/44, 58/40, 17/58, 34/858?

Answer: LCM of Numerators as per given numbers 77/44, 58/40, 17/58, 34/858 is

LCM of Numerators i.e. for 77,58,17,34 is 75922

GCF of denominators i.e. for 44,40,58,858 is 2.

Thus, LCM of Fractions is 37961.Finally, LCM of Fractions for 77/44, 58/40, 17/58, 34/858 is 37961.