Least Common Multiple of 1795/775, 6360/3570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1795/775, 6360/3570 quickly i.e. 456648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1795/775, 6360/3570 is 456648.

LCM(1795/775, 6360/3570) = 456648

LCM of 1795/775, 6360/3570

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 1795/775,6360/3570

Given numbers are 1795/775,6360/3570

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 1795,6360

Least Common Multiple of Numerators i.e. LCM of 1795,6360 is 2283240.

GCF of Denominators means GCF of 775,3570 as per the given fractions.

GCF of 775,3570 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1795,6360

LCM of Fractions 1795/775,6360/3570 is 456648

5 1795, 6360
359, 1272

∴ So the LCM of the given numbers is 5 x 359 x 1272 = 2283240

Least Common Multiple of 1795,6360 with GCF Formula

Least Common Multiple of 1795,6360 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 1795,6360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1795,6360) = 5

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

GCF(1795,6360) x common factors =5 x 1 = 5

LCM(1795,6360) = ( 1795 × 6360 ) / 5

LCM(1795,6360) = 11416200 / 5

LCM(1795,6360) = 2283240


Lets's calculate GCF of 775,3570

5 775, 3570
155, 714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2283240/5

Therefore the LCM of Fractions 1795/775,6360/3570 is 456648

Greatest Common Factor of 775,3570 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,3570 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570

Greatest Common Factor

We found the factors 775,3570 . The biggest common factor number is the GCF number.
So the greatest common factor 775,3570 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 1795/775, 6360/3570

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 1795/775, 6360/3570?

Answer: LCM of Numerators as per given numbers 1795/775, 6360/3570 is

LCM of Numerators i.e. for 1795,6360 is 2283240

GCF of denominators i.e. for 775,3570 is 5.

Thus, LCM of Fractions is 456648.Finally, LCM of Fractions for 1795/775, 6360/3570 is 456648.