Least Common Multiple of 61/392, 53/797, 374/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/392, 53/797, 374/370 quickly i.e. 1209142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/392, 53/797, 374/370 is 1209142.

LCM(61/392, 53/797, 374/370) = 1209142

LCM of 61/392, 53/797, 374/370

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 61/392,53/797,374/370

Given numbers are 61/392,53/797,374/370

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 61,53,374

Least Common Multiple of Numerators i.e. LCM of 61,53,374 is 1209142.

GCF of Denominators means GCF of 392,797,370 as per the given fractions.

GCF of 392,797,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,53,374

LCM of Fractions 61/392,53/797,374/370 is 1209142

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209142

Least Common Multiple of 61,53,374 with GCF Formula

Least Common Multiple of 61,53,374 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 61,53,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,53,374) = 1

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

GCF(61,53,374) x common factors =1 x 1 = 1

LCM(61,53,374) = ( 61 × 53 × 374 ) / 1

LCM(61,53,374) = 1209142 / 1

LCM(61,53,374) = 1209142


Lets's calculate GCF of 392,797,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1209142/1

Therefore the LCM of Fractions 61/392,53/797,374/370 is 1209142

Greatest Common Factor of 392,797,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,797,370 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

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 392,797,370 . The biggest common factor number is the GCF number.
So the greatest common factor 392,797,370 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 61/392, 53/797, 374/370

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 61/392, 53/797, 374/370?

Answer: LCM of Numerators as per given numbers 61/392, 53/797, 374/370 is

LCM of Numerators i.e. for 61,53,374 is 1209142

GCF of denominators i.e. for 392,797,370 is 1.

Thus, LCM of Fractions is 1209142.Finally, LCM of Fractions for 61/392, 53/797, 374/370 is 1209142.