Least Common Multiple of 371/154, 778/648, 118/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 371/154, 778/648, 118/757 quickly i.e. 17029642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/154, 778/648, 118/757 is 17029642.

LCM(371/154, 778/648, 118/757) = 17029642

LCM of 371/154, 778/648, 118/757

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 371/154,778/648,118/757

Given numbers are 371/154,778/648,118/757

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 371,778,118

Least Common Multiple of Numerators i.e. LCM of 371,778,118 is 17029642.

GCF of Denominators means GCF of 154,648,757 as per the given fractions.

GCF of 154,648,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,778,118

LCM of Fractions 371/154,778/648,118/757 is 17029642

2 371, 778, 118
371, 389, 59

∴ So the LCM of the given numbers is 2 x 371 x 389 x 59 = 17029642

Least Common Multiple of 371,778,118 with GCF Formula

Least Common Multiple of 371,778,118 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 371,778,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,778,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(371,778,118) x common factors =1 x 2 = 2

LCM(371,778,118) = ( 371 × 778 × 118 ) / 2

LCM(371,778,118) = 34059284 / 2

LCM(371,778,118) = 17029642


Lets's calculate GCF of 154,648,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17029642/1

Therefore the LCM of Fractions 371/154,778/648,118/757 is 17029642

Greatest Common Factor of 154,648,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,648,757 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 154,648,757 . The biggest common factor number is the GCF number.
So the greatest common factor 154,648,757 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 371/154, 778/648, 118/757

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 371/154, 778/648, 118/757?

Answer: LCM of Numerators as per given numbers 371/154, 778/648, 118/757 is

LCM of Numerators i.e. for 371,778,118 is 17029642

GCF of denominators i.e. for 154,648,757 is 1.

Thus, LCM of Fractions is 17029642.Finally, LCM of Fractions for 371/154, 778/648, 118/757 is 17029642.