Least Common Multiple of 77/458, 849/501, 688/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/458, 849/501, 688/546 quickly i.e. 44976624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/458, 849/501, 688/546 is 44976624.

LCM(77/458, 849/501, 688/546) = 44976624

LCM of 77/458, 849/501, 688/546

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 77/458,849/501,688/546

Given numbers are 77/458,849/501,688/546

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 77,849,688

Least Common Multiple of Numerators i.e. LCM of 77,849,688 is 44976624.

GCF of Denominators means GCF of 458,501,546 as per the given fractions.

GCF of 458,501,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,849,688

LCM of Fractions 77/458,849/501,688/546 is 44976624

Given numbers has no common factors except 1. So, there LCM is their product i.e 44976624

Least Common Multiple of 77,849,688 with GCF Formula

Least Common Multiple of 77,849,688 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 77,849,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,849,688) = 1

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

GCF(77,849,688) x common factors =1 x 1 = 1

LCM(77,849,688) = ( 77 × 849 × 688 ) / 1

LCM(77,849,688) = 44976624 / 1

LCM(77,849,688) = 44976624


Lets's calculate GCF of 458,501,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44976624/1

Therefore the LCM of Fractions 77/458,849/501,688/546 is 44976624

Greatest Common Factor of 458,501,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,501,546 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 458,501,546 . The biggest common factor number is the GCF number.
So the greatest common factor 458,501,546 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 77/458, 849/501, 688/546

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 77/458, 849/501, 688/546?

Answer: LCM of Numerators as per given numbers 77/458, 849/501, 688/546 is

LCM of Numerators i.e. for 77,849,688 is 44976624

GCF of denominators i.e. for 458,501,546 is 1.

Thus, LCM of Fractions is 44976624.Finally, LCM of Fractions for 77/458, 849/501, 688/546 is 44976624.