Least Common Multiple of 1960/719, 6076/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1960/719, 6076/237 quickly i.e. 60760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1960/719, 6076/237 is 60760.

LCM(1960/719, 6076/237) = 60760

LCM of 1960/719, 6076/237

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 1960/719,6076/237

Given numbers are 1960/719,6076/237

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 1960,6076

Least Common Multiple of Numerators i.e. LCM of 1960,6076 is 60760.

GCF of Denominators means GCF of 719,237 as per the given fractions.

GCF of 719,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1960,6076

LCM of Fractions 1960/719,6076/237 is 60760

2 1960, 6076
2 980, 3038
7 490, 1519
7 70, 217
10, 31

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 10 x 31 = 60760

Least Common Multiple of 1960,6076 with GCF Formula

Least Common Multiple of 1960,6076 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 1960,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1960,6076) = 196

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

GCF(1960,6076) x common factors =196 x 1 = 196

LCM(1960,6076) = ( 1960 × 6076 ) / 196

LCM(1960,6076) = 11908960 / 196

LCM(1960,6076) = 60760


Lets's calculate GCF of 719,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60760/1

Therefore the LCM of Fractions 1960/719,6076/237 is 60760

Greatest Common Factor of 719,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,237 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 719,237 . The biggest common factor number is the GCF number.
So the greatest common factor 719,237 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 1960/719, 6076/237

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 1960/719, 6076/237?

Answer: LCM of Numerators as per given numbers 1960/719, 6076/237 is

LCM of Numerators i.e. for 1960,6076 is 60760

GCF of denominators i.e. for 719,237 is 1.

Thus, LCM of Fractions is 60760.Finally, LCM of Fractions for 1960/719, 6076/237 is 60760.