Least Common Multiple of 187/646, 176/700, 404/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/646, 176/700, 404/986 quickly i.e. 151096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/646, 176/700, 404/986 is 151096.

LCM(187/646, 176/700, 404/986) = 151096

LCM of 187/646, 176/700, 404/986

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 187/646,176/700,404/986

Given numbers are 187/646,176/700,404/986

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 187,176,404

Least Common Multiple of Numerators i.e. LCM of 187,176,404 is 302192.

GCF of Denominators means GCF of 646,700,986 as per the given fractions.

GCF of 646,700,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,176,404

LCM of Fractions 187/646,176/700,404/986 is 151096

2 187, 176, 404
2 187, 88, 202
11 187, 44, 101
17, 4, 101

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 4 x 101 = 302192

Least Common Multiple of 187,176,404 with GCF Formula

Least Common Multiple of 187,176,404 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 187,176,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,176,404) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(187,176,404) x common factors =1 x 44 = 44

LCM(187,176,404) = ( 187 × 176 × 404 ) / 44

LCM(187,176,404) = 13296448 / 44

LCM(187,176,404) = 302192


Lets's calculate GCF of 646,700,986

2 646, 700, 986
323, 350, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302192/2

Therefore the LCM of Fractions 187/646,176/700,404/986 is 151096

Greatest Common Factor of 646,700,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,700,986 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

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 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 646,700,986 . The biggest common factor number is the GCF number.
So the greatest common factor 646,700,986 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 187/646, 176/700, 404/986

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 187/646, 176/700, 404/986?

Answer: LCM of Numerators as per given numbers 187/646, 176/700, 404/986 is

LCM of Numerators i.e. for 187,176,404 is 302192

GCF of denominators i.e. for 646,700,986 is 2.

Thus, LCM of Fractions is 151096.Finally, LCM of Fractions for 187/646, 176/700, 404/986 is 151096.