Least Common Multiple of 58/866, 76/354, 650/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/866, 76/354, 650/770 quickly i.e. 358150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/866, 76/354, 650/770 is 358150.

LCM(58/866, 76/354, 650/770) = 358150

LCM of 58/866, 76/354, 650/770

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 58/866,76/354,650/770

Given numbers are 58/866,76/354,650/770

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 58,76,650

Least Common Multiple of Numerators i.e. LCM of 58,76,650 is 716300.

GCF of Denominators means GCF of 866,354,770 as per the given fractions.

GCF of 866,354,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,76,650

LCM of Fractions 58/866,76/354,650/770 is 358150

2 58, 76, 650
29, 38, 325

∴ So the LCM of the given numbers is 2 x 29 x 38 x 325 = 716300

Least Common Multiple of 58,76,650 with GCF Formula

Least Common Multiple of 58,76,650 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 58,76,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,76,650) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,76,650) x common factors =2 x 2 = 4

LCM(58,76,650) = ( 58 × 76 × 650 ) / 4

LCM(58,76,650) = 2865200 / 4

LCM(58,76,650) = 716300


Lets's calculate GCF of 866,354,770

2 866, 354, 770
433, 177, 385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716300/2

Therefore the LCM of Fractions 58/866,76/354,650/770 is 358150

Greatest Common Factor of 866,354,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,354,770 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 866,354,770 . The biggest common factor number is the GCF number.
So the greatest common factor 866,354,770 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 58/866, 76/354, 650/770

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 58/866, 76/354, 650/770?

Answer: LCM of Numerators as per given numbers 58/866, 76/354, 650/770 is

LCM of Numerators i.e. for 58,76,650 is 716300

GCF of denominators i.e. for 866,354,770 is 2.

Thus, LCM of Fractions is 358150.Finally, LCM of Fractions for 58/866, 76/354, 650/770 is 358150.