Least Common Multiple of 77/602, 40/849, 312/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/602, 40/849, 312/658 quickly i.e. 120120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/602, 40/849, 312/658 is 120120.

LCM(77/602, 40/849, 312/658) = 120120

LCM of 77/602, 40/849, 312/658

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 77/602,40/849,312/658

Given numbers are 77/602,40/849,312/658

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 77,40,312

Least Common Multiple of Numerators i.e. LCM of 77,40,312 is 120120.

GCF of Denominators means GCF of 602,849,658 as per the given fractions.

GCF of 602,849,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,40,312

LCM of Fractions 77/602,40/849,312/658 is 120120

2 77, 40, 312
2 77, 20, 156
2 77, 10, 78
77, 5, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 5 x 39 = 120120

Least Common Multiple of 77,40,312 with GCF Formula

Least Common Multiple of 77,40,312 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 77,40,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,40,312) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(77,40,312) x common factors =1 x 8 = 8

LCM(77,40,312) = ( 77 × 40 × 312 ) / 8

LCM(77,40,312) = 960960 / 8

LCM(77,40,312) = 120120


Lets's calculate GCF of 602,849,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120120/1

Therefore the LCM of Fractions 77/602,40/849,312/658 is 120120

Greatest Common Factor of 602,849,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,849,658 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 602,849,658 . The biggest common factor number is the GCF number.
So the greatest common factor 602,849,658 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 77/602, 40/849, 312/658

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 77/602, 40/849, 312/658?

Answer: LCM of Numerators as per given numbers 77/602, 40/849, 312/658 is

LCM of Numerators i.e. for 77,40,312 is 120120

GCF of denominators i.e. for 602,849,658 is 1.

Thus, LCM of Fractions is 120120.Finally, LCM of Fractions for 77/602, 40/849, 312/658 is 120120.