Least Common Multiple of 740/69, 748/86, 619/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/69, 748/86, 619/154 quickly i.e. 85657220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/69, 748/86, 619/154 is 85657220.

LCM(740/69, 748/86, 619/154) = 85657220

LCM of 740/69, 748/86, 619/154

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 740/69,748/86,619/154

Given numbers are 740/69,748/86,619/154

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 740,748,619

Least Common Multiple of Numerators i.e. LCM of 740,748,619 is 85657220.

GCF of Denominators means GCF of 69,86,154 as per the given fractions.

GCF of 69,86,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,748,619

LCM of Fractions 740/69,748/86,619/154 is 85657220

2 740, 748, 619
2 370, 374, 619
185, 187, 619

∴ So the LCM of the given numbers is 2 x 2 x 185 x 187 x 619 = 85657220

Least Common Multiple of 740,748,619 with GCF Formula

Least Common Multiple of 740,748,619 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 740,748,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,748,619) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(740,748,619) x common factors =1 x 4 = 4

LCM(740,748,619) = ( 740 × 748 × 619 ) / 4

LCM(740,748,619) = 342628880 / 4

LCM(740,748,619) = 85657220


Lets's calculate GCF of 69,86,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85657220/1

Therefore the LCM of Fractions 740/69,748/86,619/154 is 85657220

Greatest Common Factor of 69,86,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,86,154 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 69,86,154 . The biggest common factor number is the GCF number.
So the greatest common factor 69,86,154 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 740/69, 748/86, 619/154

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 740/69, 748/86, 619/154?

Answer: LCM of Numerators as per given numbers 740/69, 748/86, 619/154 is

LCM of Numerators i.e. for 740,748,619 is 85657220

GCF of denominators i.e. for 69,86,154 is 1.

Thus, LCM of Fractions is 85657220.Finally, LCM of Fractions for 740/69, 748/86, 619/154 is 85657220.