Least Common Multiple of 76/461, 19/700, 757/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/461, 19/700, 757/158 quickly i.e. 57532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/461, 19/700, 757/158 is 57532.

LCM(76/461, 19/700, 757/158) = 57532

LCM of 76/461, 19/700, 757/158

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 76/461,19/700,757/158

Given numbers are 76/461,19/700,757/158

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 76,19,757

Least Common Multiple of Numerators i.e. LCM of 76,19,757 is 57532.

GCF of Denominators means GCF of 461,700,158 as per the given fractions.

GCF of 461,700,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,19,757

LCM of Fractions 76/461,19/700,757/158 is 57532

19 76, 19, 757
4, 1, 757

∴ So the LCM of the given numbers is 19 x 4 x 1 x 757 = 57532

Least Common Multiple of 76,19,757 with GCF Formula

Least Common Multiple of 76,19,757 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 76,19,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,19,757) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(76,19,757) x common factors =1 x 19 = 19

LCM(76,19,757) = ( 76 × 19 × 757 ) / 19

LCM(76,19,757) = 1093108 / 19

LCM(76,19,757) = 57532


Lets's calculate GCF of 461,700,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57532/1

Therefore the LCM of Fractions 76/461,19/700,757/158 is 57532

Greatest Common Factor of 461,700,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,700,158 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 461,700,158 . The biggest common factor number is the GCF number.
So the greatest common factor 461,700,158 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 76/461, 19/700, 757/158

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 76/461, 19/700, 757/158?

Answer: LCM of Numerators as per given numbers 76/461, 19/700, 757/158 is

LCM of Numerators i.e. for 76,19,757 is 57532

GCF of denominators i.e. for 461,700,158 is 1.

Thus, LCM of Fractions is 57532.Finally, LCM of Fractions for 76/461, 19/700, 757/158 is 57532.