Least Common Multiple of 57/56, 891/77, 741/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/56, 891/77, 741/830 quickly i.e. 220077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/56, 891/77, 741/830 is 220077.

LCM(57/56, 891/77, 741/830) = 220077

LCM of 57/56, 891/77, 741/830

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 57/56,891/77,741/830

Given numbers are 57/56,891/77,741/830

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 57,891,741

Least Common Multiple of Numerators i.e. LCM of 57,891,741 is 220077.

GCF of Denominators means GCF of 56,77,830 as per the given fractions.

GCF of 56,77,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,891,741

LCM of Fractions 57/56,891/77,741/830 is 220077

3 57, 891, 741
19 19, 297, 247
1, 297, 13

∴ So the LCM of the given numbers is 3 x 19 x 1 x 297 x 13 = 220077

Least Common Multiple of 57,891,741 with GCF Formula

Least Common Multiple of 57,891,741 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 57,891,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,891,741) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(57,891,741) x common factors =3 x 57 = 171

LCM(57,891,741) = ( 57 × 891 × 741 ) / 171

LCM(57,891,741) = 37633167 / 171

LCM(57,891,741) = 220077


Lets's calculate GCF of 56,77,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220077/1

Therefore the LCM of Fractions 57/56,891/77,741/830 is 220077

Greatest Common Factor of 56,77,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,77,830 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 56,77,830 . The biggest common factor number is the GCF number.
So the greatest common factor 56,77,830 is 1.


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 57/56, 891/77, 741/830

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 57/56, 891/77, 741/830?

Answer: LCM of Numerators as per given numbers 57/56, 891/77, 741/830 is

LCM of Numerators i.e. for 57,891,741 is 220077

GCF of denominators i.e. for 56,77,830 is 1.

Thus, LCM of Fractions is 220077.Finally, LCM of Fractions for 57/56, 891/77, 741/830 is 220077.