Least Common Multiple of 364/755, 350/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/755, 350/860 quickly i.e. 1820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/755, 350/860 is 1820.

LCM(364/755, 350/860) = 1820

LCM of 364/755, 350/860

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 364/755,350/860

Given numbers are 364/755,350/860

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 364,350

Least Common Multiple of Numerators i.e. LCM of 364,350 is 9100.

GCF of Denominators means GCF of 755,860 as per the given fractions.

GCF of 755,860 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,350

LCM of Fractions 364/755,350/860 is 1820

2 364, 350
7 182, 175
26, 25

∴ So the LCM of the given numbers is 2 x 7 x 26 x 25 = 9100

Least Common Multiple of 364,350 with GCF Formula

Least Common Multiple of 364,350 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 364,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,350) = 14

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

GCF(364,350) x common factors =14 x 1 = 14

LCM(364,350) = ( 364 × 350 ) / 14

LCM(364,350) = 127400 / 14

LCM(364,350) = 9100


Lets's calculate GCF of 755,860

5 755, 860
151, 172

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9100/5

Therefore the LCM of Fractions 364/755,350/860 is 1820

Greatest Common Factor of 755,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,860 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 755,860 . The biggest common factor number is the GCF number.
So the greatest common factor 755,860 is 5.


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 364/755, 350/860

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 364/755, 350/860?

Answer: LCM of Numerators as per given numbers 364/755, 350/860 is

LCM of Numerators i.e. for 364,350 is 9100

GCF of denominators i.e. for 755,860 is 5.

Thus, LCM of Fractions is 1820.Finally, LCM of Fractions for 364/755, 350/860 is 1820.