Least Common Multiple of 76/762, 342/428, 365/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/762, 342/428, 365/702 quickly i.e. 124830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/762, 342/428, 365/702 is 124830.

LCM(76/762, 342/428, 365/702) = 124830

LCM of 76/762, 342/428, 365/702

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 76/762,342/428,365/702

Given numbers are 76/762,342/428,365/702

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 76,342,365

Least Common Multiple of Numerators i.e. LCM of 76,342,365 is 249660.

GCF of Denominators means GCF of 762,428,702 as per the given fractions.

GCF of 762,428,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,342,365

LCM of Fractions 76/762,342/428,365/702 is 124830

2 76, 342, 365
19 38, 171, 365
2, 9, 365

∴ So the LCM of the given numbers is 2 x 19 x 2 x 9 x 365 = 249660

Least Common Multiple of 76,342,365 with GCF Formula

Least Common Multiple of 76,342,365 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 76,342,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,342,365) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(76,342,365) x common factors =1 x 38 = 38

LCM(76,342,365) = ( 76 × 342 × 365 ) / 38

LCM(76,342,365) = 9487080 / 38

LCM(76,342,365) = 249660


Lets's calculate GCF of 762,428,702

2 762, 428, 702
381, 214, 351

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249660/2

Therefore the LCM of Fractions 76/762,342/428,365/702 is 124830

Greatest Common Factor of 762,428,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,428,702 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 762,428,702 . The biggest common factor number is the GCF number.
So the greatest common factor 762,428,702 is 2.


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 76/762, 342/428, 365/702

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 76/762, 342/428, 365/702?

Answer: LCM of Numerators as per given numbers 76/762, 342/428, 365/702 is

LCM of Numerators i.e. for 76,342,365 is 249660

GCF of denominators i.e. for 762,428,702 is 2.

Thus, LCM of Fractions is 124830.Finally, LCM of Fractions for 76/762, 342/428, 365/702 is 124830.