Least Common Multiple of 357/148, 700/782, 364/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/148, 700/782, 364/178 quickly i.e. 232050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/148, 700/782, 364/178 is 232050.

LCM(357/148, 700/782, 364/178) = 232050

LCM of 357/148, 700/782, 364/178

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 357/148,700/782,364/178

Given numbers are 357/148,700/782,364/178

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 357,700,364

Least Common Multiple of Numerators i.e. LCM of 357,700,364 is 464100.

GCF of Denominators means GCF of 148,782,178 as per the given fractions.

GCF of 148,782,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,700,364

LCM of Fractions 357/148,700/782,364/178 is 232050

2 357, 700, 364
2 357, 350, 182
7 357, 175, 91
51, 25, 13

∴ So the LCM of the given numbers is 2 x 2 x 7 x 51 x 25 x 13 = 464100

Least Common Multiple of 357,700,364 with GCF Formula

Least Common Multiple of 357,700,364 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 357,700,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,700,364) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(357,700,364) x common factors =7 x 28 = 196

LCM(357,700,364) = ( 357 × 700 × 364 ) / 196

LCM(357,700,364) = 90963600 / 196

LCM(357,700,364) = 464100


Lets's calculate GCF of 148,782,178

2 148, 782, 178
74, 391, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464100/2

Therefore the LCM of Fractions 357/148,700/782,364/178 is 232050

Greatest Common Factor of 148,782,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,782,178 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 148,782,178 . The biggest common factor number is the GCF number.
So the greatest common factor 148,782,178 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 357/148, 700/782, 364/178

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 357/148, 700/782, 364/178?

Answer: LCM of Numerators as per given numbers 357/148, 700/782, 364/178 is

LCM of Numerators i.e. for 357,700,364 is 464100

GCF of denominators i.e. for 148,782,178 is 2.

Thus, LCM of Fractions is 232050.Finally, LCM of Fractions for 357/148, 700/782, 364/178 is 232050.