Least Common Multiple of 419/975, 750/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/975, 750/370 quickly i.e. 62850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/975, 750/370 is 62850.

LCM(419/975, 750/370) = 62850

LCM of 419/975, 750/370

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 419/975,750/370

Given numbers are 419/975,750/370

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 419,750

Least Common Multiple of Numerators i.e. LCM of 419,750 is 314250.

GCF of Denominators means GCF of 975,370 as per the given fractions.

GCF of 975,370 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,750

LCM of Fractions 419/975,750/370 is 62850

Given numbers has no common factors except 1. So, there LCM is their product i.e 314250

Least Common Multiple of 419,750 with GCF Formula

Least Common Multiple of 419,750 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 419,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,750) = 1

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

GCF(419,750) x common factors =1 x 1 = 1

LCM(419,750) = ( 419 × 750 ) / 1

LCM(419,750) = 314250 / 1

LCM(419,750) = 314250


Lets's calculate GCF of 975,370

5 975, 370
195, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314250/5

Therefore the LCM of Fractions 419/975,750/370 is 62850

Greatest Common Factor of 975,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,370 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 975,370 . The biggest common factor number is the GCF number.
So the greatest common factor 975,370 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 419/975, 750/370

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 419/975, 750/370?

Answer: LCM of Numerators as per given numbers 419/975, 750/370 is

LCM of Numerators i.e. for 419,750 is 314250

GCF of denominators i.e. for 975,370 is 5.

Thus, LCM of Fractions is 62850.Finally, LCM of Fractions for 419/975, 750/370 is 62850.